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Paper Citation Record · LEDGER

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces

As of 16 August 2026, this Paper Citation Record lists 100 of 119 outbound references and 0 inbound Pith citation observations for arXiv:1908.01143.

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pith.paper-citation-record.v1
1908.01143 v1

Coverage vector

measured 100 of 119 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

100 of 119 outbound references displayed

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Outbound references

Observation ae66fa38-4e34-40f6-a60d-2284e8f5d707 · outbound

This paper cites On one hand, the action of Mp onto a given function can be expressed via Eq.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces On one hand, the action of Mp onto a given function can be expressed via Eq

Reference 1

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Observation 4fa56f19-95bd-4488-af20-d8b00073298c · outbound

This paper cites an unresolved cited work.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Unresolved cited work

Reference 2

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Observation 8d22b90a-58f4-43ed-845c-4ae3b7434d5e · outbound

This paper cites (D3) yields Kn0,n ′0 = κ D √ (n + 1/ 2)(n′ + 1/ 2) 1∫ cos ε dx Pn(x) Pn′ (x).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces (D3) yields Kn0,n ′0 = κ D √ (n + 1/ 2)(n′ + 1/ 2) 1∫ cos ε dx Pn(x) Pn′ (x)

Reference 3

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Observation e278f665-5893-4e9b-b203-02c11805e93a · outbound

This paper cites For any bounded domain, a diffusing molecule cannot avoid the reaction event so that ˜H(0|x0) = 1, ensuring the correct normal- ization of the probability density H(t|x0).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces For any bounded domain, a diffusing molecule cannot avoid the reaction event so that ˜H(0|x0) = 1, ensuring the correct normal- ization of the probability density H(t|x0)

Reference 4

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Observation a2fc3c43-af33-4a26-83c8-be734e93e1ee · outbound

This paper cites ingredients.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces ingredients

Reference 5

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Observation eaa13c15-a289-4f43-bf98-0f2723df60b1 · outbound

This paper cites Geometry-controlled kinetics.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Geometry-controlled kinetics

Reference 6

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Observation 8b11006b-bd8e-414c-b56f-84ac461082a4 · outbound

This paper cites 23), and different reactivities.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces 23), and different reactivities

Reference 7

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This paper cites an unresolved cited work.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Unresolved cited work

Reference 8

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Observation bf711665-f1da-4ed3-ad51-dc3e1e68cac0 · outbound

This paper cites (43) yields 2 πδm,m ′, and 14 the matrix K has a block structure.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces (43) yields 2 πδm,m ′, and 14 the matrix K has a block structure

Reference 9

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Observation 8662e07f-47cd-42aa-84cb-ca2a849d61b0 · outbound

This paper cites Reaction-rate theory: fifty years after Kramers.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Reaction-rate theory: fifty years after Kramers

Reference 10

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Observation 4ddfa347-cea6-497b-86b4-75e48b8f0d49 · outbound

This paper cites In fact, the additivity of the integral in Eq.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces In fact, the additivity of the integral in Eq

Reference 11

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Observation 69d543f1-197c-4c24-9bc3-993cd3a85c82 · outbound

This paper cites Versuch einer Mathematischen The- orie der Koagulations Kinetic Kolloider L¨ osungen.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Versuch einer Mathematischen The- orie der Koagulations Kinetic Kolloider L¨ osungen

Reference 12

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Observation 3163d036-8579-45ab-9d74-9c791559e2ad · outbound

This paper cites Rice, Diffusion-Limited Reactions (Elsevier, Amster- dam, 1985).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Rice, Diffusion-Limited Reactions (Elsevier, Amster- dam, 1985)

Reference 13

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Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces ingredients

Reference 14

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Observation e58754bd-5297-44dc-8059-cf809274cbdd · outbound

This paper cites Redner, A Guide to First Passage Processes (Cam- bridge University press, 2001).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Redner, A Guide to First Passage Processes (Cam- bridge University press, 2001)

Reference 15

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Observation 7e09143d-2b97-412b-bebf-18c1d3697ef4 · outbound

This paper cites Brownian flights over a fractal nest and first passage statistics on irregular surfaces.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Brownian flights over a fractal nest and first passage statistics on irregular surfaces

Reference 16

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Observation e9d87547-0c0a-4c5a-aeda-13727575d042 · outbound

This paper cites First-passage time in complex scale- invariant media.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces First-passage time in complex scale- invariant media

Reference 17

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Observation 9b6d74ed-b3d4-4102-98c9-40a672203ecb · outbound

This paper cites From first-passage times of random walks in confinement to geometry-controlled kinetics.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces From first-passage times of random walks in confinement to geometry-controlled kinetics

Reference 18

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Observation f2ee60e0-d1be-457e-a835-8f321edf8bf7 · outbound

This paper cites Metzler, G.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Metzler, G

Reference 19

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Observation b0ddc932-0c90-4e2f-a278-ac33170755f8 · outbound

This paper cites Overview of theoretical models for reac- tion rates.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Overview of theoretical models for reac- tion rates

Reference 20

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Observation 5bfbd6a1-d9e2-4b8a-ae56-fba075f77d28 · outbound

This paper cites Diffusion-Reaction in Branched Structures: The- ory and Application to the Lung Acinus.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffusion-Reaction in Branched Structures: The- ory and Application to the Lung Acinus

Reference 21

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Observation 1c4c2da4-4740-4edc-ab67-7ecb1e489a6e · outbound

This paper cites Diffusion-controlled reaction rates.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffusion-controlled reaction rates

Reference 22

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Observation e4c34e0f-2447-4a6f-905a-da6ee7f6cd98 · outbound

This paper cites Can One Hear the Shape of an Electrode? II. Theoretical Study of the Laplacian Transfer.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Can One Hear the Shape of an Electrode? II. Theoretical Study of the Laplacian Transfer

Reference 23

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Observation 508f3400-1df1-400d-9e0b-54e2cccc8236 · outbound

This paper cites Spectral Properties of the Brownian Self-Transport Operator.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Spectral Properties of the Brownian Self-Transport Operator

Reference 24

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Observation 3d39b7b5-619d-4851-ad18-68efc42dd433 · outbound

This paper cites Partially Reflected Brownian Mo- tion: A Stochastic Approach to Transport Phenomena.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Partially Reflected Brownian Mo- tion: A Stochastic Approach to Transport Phenomena

Reference 25

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Observation 7bd81584-3023-4445-81f5-b23d7598a710 · outbound

This paper cites an unresolved cited work.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Unresolved cited work

Reference 26

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Observation 7f9b3e77-08ac-4ce5-8dca-ed9f39ea0e67 · outbound

This paper cites Partially diffusion-controlle d recombination.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Partially diffusion-controlle d recombination

Reference 27

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Observation 01f21338-073d-476a-b2be-6a8b50c13583 · outbound

This paper cites Theory of diffusion-controlled reactions on spherical surfaces and its application to re- actions on micellar surfaces.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Theory of diffusion-controlled reactions on spherical surfaces and its application to re- actions on micellar surfaces

Reference 28

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Observation adb650a1-c081-4e8c-998d-b5a26b170f5f · outbound

This paper cites Role of diffusion in ligand binding to macromolecules and cell-bound receptors.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Role of diffusion in ligand binding to macromolecules and cell-bound receptors

Reference 29

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Observation a2152ae2-5047-4e77-8b9d-a3bb5620fa13 · outbound

This paper cites General Formulation of Laplacian Transfe r Across Irregular Surfaces.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces General Formulation of Laplacian Transfe r Across Irregular Surfaces

Reference 30

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Observation 2b94844d-f88a-4e24-9bec-931635a6dce0 · outbound

This paper cites Smaller is bet- ter – but not too small: A physical scale for the design of the mammalian pulmonary acinus.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Smaller is bet- ter – but not too small: A physical scale for the design of the mammalian pulmonary acinus

Reference 31

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Observation 7935faef-8652-43fa-843f-4c02a96c2715 · outbound

This paper cites Diffusion- controlled bimolecular reaction rates. The effect of ro- tational diffusion and orientation constraints.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffusion- controlled bimolecular reaction rates. The effect of ro- tational diffusion and orientation constraints

Reference 32

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Observation 0fdf336b-6cf2-4f47-b2b4-2bb67832f71c · outbound

This paper cites Time dependent diffusion in a disordered medium with partially absorbing walls: A perturbative approach.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Time dependent diffusion in a disordered medium with partially absorbing walls: A perturbative approach

Reference 33

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This paper cites Exact solution for anisotropic diffusion-controlled reactions with partiall y reflecting conditions.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Exact solution for anisotropic diffusion-controlled reactions with partiall y reflecting conditions

Reference 34

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Observation 9672c40b-9eac-4f9c-8466-cb3016ca5f9e · outbound

This paper cites Diffu- sion of protein receptors on a cylindrical dendritic mem- brane with partially absorbing traps.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffu- sion of protein receptors on a cylindrical dendritic mem- brane with partially absorbing traps

Reference 35

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Observation c77e6534-17fb-4214-805c-3788d451067c · outbound

This paper cites Theory of diffusion-influenced reactions in complex ge- ometries.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Theory of diffusion-influenced reactions in complex ge- ometries

Reference 36

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Observation 99515acc-5594-40bf-83ef-7ec44e6e4791 · outbound

This paper cites Semi-analytical computation of Laplacian Green functions in three- dimensional domains with disconnected spherical boundaries.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Semi-analytical computation of Laplacian Green functions in three- dimensional domains with disconnected spherical boundaries

Reference 37

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Observation 570bfc74-f76e-415f-b8c4-ac5e98b20103 · outbound

This paper cites Kinetics of stochastically gated diffusion-limited reactions and geometry of random walk trajectories.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Kinetics of stochastically gated diffusion-limited reactions and geometry of random walk trajectories

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-14T15:30:58.338257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:30:58.338257Z digest=sha256:3e0d76ee2cbd76c769a53ff3ab14ac8f2bd5460923d435c37900a21759cf8fe7

Observation 5f0c69ea-454b-449a-9133-6a783c1ad16e · outbound

This paper cites Gated Narrow Escape Time for Molecular Signaling.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Gated Narrow Escape Time for Molecular Signaling

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-14T15:30:58.344073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:30:58.344073Z digest=sha256:ce6450b2fdf06e16d4be4f2c35d8dee69c8ea67e647cf6d5fc74789a9d457803

Observation 6b437aaa-5b09-44a3-bbc1-d4a1fe398654 · outbound

This paper cites A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:01.145249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.353018Z digest=sha256:440e2d07ebe7296be019fc5c0ddac9d9956a7bc43bc2682428c9bb0d7ad19457

Observation bd2380e0-0bd8-486f-aa3e-fcf43281ab8f · outbound

This paper cites Stochastic switching in biology: from genotype to phenotype.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Stochastic switching in biology: from genotype to phenotype

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:01.113534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.360833Z digest=sha256:21f94757bd3c01055dfdd52bcf7a0bd86b0864e465d6fa0800e1648632ebbbf0

Observation 23841dae-0456-4083-aeea-074f3ac6c12a · outbound

This paper cites Physics of chemorecep- tion.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Physics of chemorecep- tion

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:01.089910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.367822Z digest=sha256:edc2e49e9fa105b545ff241144125ac460e968c4a21ecf44bf643c78450648c4

Observation 543c0b24-e7ae-464a-a7df-8ffceb672403 · outbound

This paper cites Narrow Es- cape, Part II The circular disk.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Narrow Es- cape, Part II The circular disk

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.781345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.464693Z digest=sha256:eaca826b574ca5f99d4ecb3406b631bf13919cc2589fb61db3a7dfeb6b57c58b

Observation 5b1f2a97-ecff-48af-a7db-f889ba6c31b0 · outbound

This paper cites Time dependent rate of diffusion-influenced ligand binding to receptors on cell surfaces.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Time dependent rate of diffusion-influenced ligand binding to receptors on cell surfaces

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:01.017118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.383650Z digest=sha256:fe1fc2e37ba5d4ecce28ee80cfe1978c67f85b3563351684c2b7a9f117d8ca48

Observation 973acc69-c5a9-4f54-b0d8-1180ad213a01 · outbound

This paper cites In turn, Eq.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces In turn, Eq

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-14T15:30:58.088622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:30:58.088622Z digest=sha256:49aa6261f96549f8e85016572fc7014a9703a315d19742a0b9b223a408f01cfe

Observation 280c09a2-7f72-4341-9859-2174858c1a58 · outbound

This paper cites Imperfect Diffusion-Controlled Reactions.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Imperfect Diffusion-Controlled Reactions

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:30:59.084435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.395651Z digest=sha256:a763598cce6db8b0601f78f5f974b43911aabf85af9dda1a243705a84620055a

Observation 9745b60e-6e16-4f51-9e5c-eb6b0a6c3b80 · outbound

This paper cites an unresolved cited work.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:31:00.986398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.405745Z digest=sha256:fc380852324d49ca83949b2714c0c972b6707cac1765b8988f10e0e1ddad6455

Observation 480d299b-0ca5-43ea-bbda-9430579051a3 · outbound

This paper cites Crank, The Mathematics of Diffusion (Oxford Uni- versity Press, 1956).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Crank, The Mathematics of Diffusion (Oxford Uni- versity Press, 1956)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.961023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.412305Z digest=sha256:3c22e73604e4f4f1dcf5d8e2d9d689f4cb63c91f795104ad36ffdc026935687a

Observation 47526643-f3d8-4b60-9cab-046bd3f9a2e2 · outbound

This paper cites an unresolved cited work.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:31:00.935473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.423283Z digest=sha256:9edd1fb127961db66868413cea1ccf63f7d60b7a5c5997aeddc9778c9bc888b5

Observation 9b500598-16de-4daa-b622-e4fd73fead11 · outbound

This paper cites an unresolved cited work.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:31:00.913189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.430887Z digest=sha256:103eb11a50fac6933cb343848f8da552729916b2360e9a0a04f20cde8eed1694

Observation 7527575a-8c61-4746-bec1-096bf9ef4260 · outbound

This paper cites The Narrow Escape Prob- lem.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces The Narrow Escape Prob- lem

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.875386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.438093Z digest=sha256:288041944deba581fb26fc3426e6c43fdd772b21da0e0d24436b12c715ad6a0d

Observation 8b8b28a2-cff8-4cd9-b413-ed3610565780 · outbound

This paper cites Schuss, Brownian Dynamics at Boundaries and In- terfaces in Physics, Chemistry and Biology (Springer, New York, 2013).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Schuss, Brownian Dynamics at Boundaries and In- terfaces in Physics, Chemistry and Biology (Springer, New York, 2013)

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.856472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.446983Z digest=sha256:da88a3205242b143ddb41853058e4dac480624cab59515e424953d4524036680

Observation 4b5fc8d1-73ed-4af9-9717-3bc4581a646f · outbound

This paper cites Holcman and Z.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Holcman and Z

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.832352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.452069Z digest=sha256:37a58e4d9b3889958d2b34b79583c1ac1881a98298e987f09e5562b49e6b5c1f

Observation fd55cf4a-acae-4088-9c4f-ddf4b7bc55d8 · outbound

This paper cites Narrow Escape, Part I.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Narrow Escape, Part I

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.804498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.458062Z digest=sha256:ee000cf0f486125be860922c76569eb669ae522c8d473cd4d5fbb2b09e0b92d1

Observation fddf0879-c60f-4f93-ac96-dd93680a34da · outbound

This paper cites Narrow Escape, Part III Riemann surfaces and non-smooth domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Narrow Escape, Part III Riemann surfaces and non-smooth domains

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.753648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.470027Z digest=sha256:a98e4c44df30e9367c287f6d5af9e45f6407998ad0d8d23da567a69924f84a42

Observation 28503363-48ad-48da-a8d1-7683852a3d1d · outbound

This paper cites An Asymptotic Analysis of the Mean First Pas- sage Time for Narrow Escape Problems: Part I: Two- Dimensional Domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces An Asymptotic Analysis of the Mean First Pas- sage Time for Narrow Escape Problems: Part I: Two- Dimensional Domains

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.730071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.476025Z digest=sha256:727d52ac5a1dbe9b0141320945b6eb32314997cbd09d4c4bb9102e998c1deb88

Observation 8fe878cb-0f92-45a4-b1a6-799b073b8b01 · outbound

This paper cites An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.711015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.481790Z digest=sha256:7cafb414d006718f06c3a4821f210d05c75c5dca5e39b1902cc27228865bb241

Observation 79e15a25-8002-4cf6-95eb-ba02beb8bc00 · outbound

This paper cites Math- ematical modeling and numerical computation of nar- row escape problems.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Math- ematical modeling and numerical computation of nar- row escape problems

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.690927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.488815Z digest=sha256:1bde1c5b698b6f017c19e2d314c2fc741f23b2fd84e80d40229758a5d8640f1f

Observation 48ce7c57-ac10-479d-9d68-60e066f06f97 · outbound

This paper cites Analytical and Numerical Results for an Escape Problem.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Analytical and Numerical Results for an Escape Problem

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.670198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.500500Z digest=sha256:eb33f106b558efd2eacb726b15852911407b4eb65e179fb5e34eca14186c8b13

Observation c617111d-823f-4b48-81e5-001f439b6eda · outbound

This paper cites Analytical Solutions for an Escape Problem in a Disc with an Arbitrary Distribution of Exit Holes Along Its Boundary.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Analytical Solutions for an Escape Problem in a Disc with an Arbitrary Distribution of Exit Holes Along Its Boundary

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.649286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.506194Z digest=sha256:ffbbe912961dbc88e5f6549b24ee8441aac8cb834dc494d29b1851119c97ab78

Observation b40fd425-2b8d-41d2-ba53-6b4ce2c93f75 · outbound

This paper cites Universal formula for the mean first passage time in planar domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Universal formula for the mean first passage time in planar domains

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.624174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.512926Z digest=sha256:77b8f9ee072610b743e20274bfbda6997d408b8166fb52476c3995fc0a1f1f0b

Observation 104c583c-d91c-420a-be5e-55d8e2a36765 · outbound

This paper cites Diffusion-controlled ligand binding to spheres partially covered by receptors: an effective medium treatment.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffusion-controlled ligand binding to spheres partially covered by receptors: an effective medium treatment

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.599098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.521317Z digest=sha256:4c6f0de2f86b5efdb7a9aee195f268287fc4af2f89758f466351ffbeb85c363e

Observation 40fda71b-6d65-4b27-9377-a93112fb39e4 · outbound

This paper cites Boundary homogenization for trapping by patchy surfaces.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Boundary homogenization for trapping by patchy surfaces

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.573578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.529929Z digest=sha256:a1e4936e53643b266ebab97c3f108357c6b659279782c6287f4e38d8277fa8dc

Observation 8f0f42bd-38e1-4871-9e28-11a7117dd437 · outbound

This paper cites Homogenization of boundary condi- tions for surfaces with regular arrays of traps.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Homogenization of boundary condi- tions for surfaces with regular arrays of traps

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.548206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.535348Z digest=sha256:dc71ae9ebd57b2d190eeb4cab8d2f2dd7065c74430c674925fa008ff1a9845e1

Observation fc4ecb4b-ffe0-49d5-a69a-260557a57e9c · outbound

This paper cites Boundary homoge- nization for periodic arrays of absorbers.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Boundary homoge- nization for periodic arrays of absorbers

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.520097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.541866Z digest=sha256:aaa774b769f5d001ecb0a5c28c4e13c4c3d2cdee2fc27c2d4c4db5bfbc305301

Observation 50f0c532-675e-4973-9cbf-57a69f05d4eb · outbound

This paper cites Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes with Periodic Patterns of Reactive Sites.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes with Periodic Patterns of Reactive Sites

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.488727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.547885Z digest=sha256:65c29ac89d124e6a47e71823fd0dfe6a5c1364cbfd51c63d96ab048e59fdc09c

Observation 598005b9-2e5c-46da-9437-cfb7c0b65c62 · outbound

This paper cites Boundary homogenization for a sphere with an absorbing cap of arbitrary size.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Boundary homogenization for a sphere with an absorbing cap of arbitrary size

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.444343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.555298Z digest=sha256:dbb662f2d5abba20c27a415e3a1180817f690ceb7a2b31beb60583b795e2a4ed

Observation 45343a3f-c103-45da-a040-d87a2decc4dc · outbound

This paper cites First Passage Statistics for the Capture of a Brownian Parti- cle by a Structured Spherical Target with Multiple Sur- face Traps.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces First Passage Statistics for the Capture of a Brownian Parti- cle by a Structured Spherical Target with Multiple Sur- face Traps

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.411048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.562870Z digest=sha256:9205d6f83cccd50a4b2a5ae10735c7887cb3bf04d5abb268bc5c26a8e1cc537a

Observation 3c5c75b8-8c00-4ea4-8f5f-427671ca9e9a · outbound

This paper cites Numerical approxima- tion of diffusive capture rates by planar and spherical surfaces with absorbing pores.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Numerical approxima- tion of diffusive capture rates by planar and spherical surfaces with absorbing pores

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.386246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.571080Z digest=sha256:412e78e715b48d44c5f78061b0456ef717005e2f851f4a2b30da94a4bb7de377

Observation c78ce660-4ac0-4e97-bff2-0fa51bbec341 · outbound

This paper cites Exploration and trapping of mortal random walkers.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Exploration and trapping of mortal random walkers

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.363478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.585195Z digest=sha256:9d4a5e9b9ab00fa2bd9842d998d822501e6f84c02ca2d5fef8b5f812a1ce5d4a

Observation a76604f1-ff14-4ea3-84cf-a8f8aeec8d10 · outbound

This paper cites Mortality, redundancy, and diversity in stochastic search.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Mortality, redundancy, and diversity in stochastic search

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.342103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.591375Z digest=sha256:634cea0ac8b697632e9eec71fe287ba88b8055a9e24a964a1065eff98a5ebe87

Observation b2a1566a-2122-4e09-abd9-18f9c042e874 · outbound

This paper cites The escape problem for mortal walkers.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces The escape problem for mortal walkers

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.316554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.597063Z digest=sha256:e36170fa37a71f989f7ac703f36e07c3d70128cfd6376cc19c0b50fa5c789fb2

Observation 63d17b0e-4785-4c2c-9d55-a8111b8e7351 · outbound

This paper cites Exit time distribution in spherically sym- metric two-dimensional domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Exit time distribution in spherically sym- metric two-dimensional domains

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.288460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.604831Z digest=sha256:c24f693a33e2944adb40ba91228557abf038d5ce652b5c670be5cfabe67b66ec

Observation 6f310c67-66f5-4e6b-aafd-74bc49a258db · outbound

This paper cites Diffusive escape through a narrow opening: new insights into a clas- sic problem.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffusive escape through a narrow opening: new insights into a clas- sic problem

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.265497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.613472Z digest=sha256:70b683d655587bf8a48ea14f7a278b66af39084c0a6b0f164c816ca2c06f9884

Observation fb7a42a6-05c5-465f-a67f-1d272ce3a8e6 · outbound

This paper cites Narrow Escape of In- teracting Diffusing Particles.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Narrow Escape of In- teracting Diffusing Particles

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.241643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.620752Z digest=sha256:3c1e52f875d4469cb784aa7f6ce0846368504e516d7480db6634fd4f88bc6be6

Observation 1a1ae059-4463-4908-933c-ab0c63ca0647 · outbound

This paper cites Effects of the target aspect ratio and intrinsic reactivity onto diffusive search in bounded domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Effects of the target aspect ratio and intrinsic reactivity onto diffusive search in bounded domains

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.221442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.626186Z digest=sha256:3a0b6af05488ac909a958f12c39dc0ccd40c9247d82e61ea33246b53da50e4b2

Observation a48a6fd4-cef0-4469-9f76-f7d2b05a8045 · outbound

This paper cites First passage times for multiple par- ticles with reversible target-binding kinetics.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces First passage times for multiple par- ticles with reversible target-binding kinetics

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.194554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.631598Z digest=sha256:fe24c67047cd3ab34022d5507e4a03b29c0716e7845226a47cf4a9ca9595c231

Observation 8acd7410-4fec-4a92-86b4-2b216927393b · outbound

This paper cites First passage time dis- tribution of multiple impatient particles with reversible binding.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces First passage time dis- tribution of multiple impatient particles with reversible binding

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.167316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.641780Z digest=sha256:f4c9fac392d29e795b576507b2c7416b14eca79e7806be004f5b0edc0100b772

Observation 234b9392-f585-42fd-8fd2-d4e5f4df2a80 · outbound

This paper cites Optimal Reaction Time for Surface- Mediated Diffusion.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Optimal Reaction Time for Surface- Mediated Diffusion

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.147581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.647892Z digest=sha256:507252c86a66ee0f6c72141346c7cd6321fa65735616e94c7665738cf93610b8

Observation c94716e7-1778-430b-a6f2-016c27004266 · outbound

This paper cites Mean First-Passage Time of Surface- Mediated Diffusion in Spherical Domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Mean First-Passage Time of Surface- Mediated Diffusion in Spherical Domains

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.120968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.653726Z digest=sha256:97b55ac11c29e43906eeba2659df160be2a318daccfcfb91de8b6dc9d68e72ca

Observation 1c10a1f2-2b96-48a0-850d-603a054fc1af · outbound

This paper cites Kinetics of Active Surface-Mediated Diffu- sion in Spherically Symmetric Domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Kinetics of Active Surface-Mediated Diffu- sion in Spherically Symmetric Domains

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.089124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.659253Z digest=sha256:05b463bb57e1d224d747db40d0259293c1a1ea0c09e02aee5bd75847d13ad060

Observation e7f81c32-2b74-449e-9ffc-46d7d8a4e86a · outbound

This paper cites Exact mean exit time for surface-mediated diffusion.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Exact mean exit time for surface-mediated diffusion

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.061547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.666165Z digest=sha256:bca24547e2798955de1790475c1c9518b4a2ef02fb05e934445b9b8b793945c9

Observation 5e451dc1-2eab-444e-9445-ad1c7797f18a · outbound

This paper cites First-Passage Times in d-Dimensional Heterogeneous Media.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces First-Passage Times in d-Dimensional Heterogeneous Media

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.033182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.673848Z digest=sha256:7fea4715dd73855300085c4b43eb7b14ca2e34b8405336776c71478580ae199f

Observation a5f91238-17f7-4a8c-9b50-3382d682c988 · outbound

This paper cites Diffusing Diffusivity: Sur- vival in a Crowded Rearranging and Bounded Domain.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffusing Diffusivity: Sur- vival in a Crowded Rearranging and Bounded Domain

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:31:00.006183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.680313Z digest=sha256:ba9df74dc6b4089813bfe9242af11f2d4a77ad45275a085877b1b4b6302e219f

Observation 87e91947-dbf7-4f7b-af29-10755882db14 · outbound

This paper cites Diffusion-limited reactions in dynamic heterogeneous media.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Diffusion-limited reactions in dynamic heterogeneous media

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.967511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.685542Z digest=sha256:421eb5d45c2e2ee28c725f2d60987a1e277e62541214731fefaf840a80c2cf97

Observation 9fa5053a-d032-42b9-b33a-26fdf0038487 · outbound

This paper cites First passage statistics for diffusing diffusivity.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces First passage statistics for diffusing diffusivity

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.948445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.693559Z digest=sha256:ce549ad605ba788b019e737cbf4069c29decd1e27ae38706b82ca883d65bc220

Observation 2194791d-0f54-41b2-84c0-050904b43057 · outbound

This paper cites Universal Proximity Effect in Target Search Kinetics in the Few-Encounter Limit.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Universal Proximity Effect in Target Search Kinetics in the Few-Encounter Limit

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.927818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.701758Z digest=sha256:0abe77edef7a01ab6b1a30e89e027acd7f3e7ebe2dbded8000fe9524b1ff3f95

Observation 0221c29a-0026-4ff6-bdaa-5e3d2f09f428 · outbound

This paper cites First passage time distribu- tion in heterogeneity controlled kinetics: going beyond the mean first passage time.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces First passage time distribu- tion in heterogeneity controlled kinetics: going beyond the mean first passage time

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.908033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.709700Z digest=sha256:644abf852245598ec364c0ca2e41ebbb249741ade6bd1fb068472ddc46f41136

Observation ee7546f8-79e7-4609-9a51-72b547d60781 · outbound

This paper cites To- wards a full quantitative description of single-molecule reaction kinetics in biological cells.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces To- wards a full quantitative description of single-molecule reaction kinetics in biological cells

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.883342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.718654Z digest=sha256:11cddcba37760d6917809b091394acc9daafe820afd47057eff80a1907af7674

Observation 65cf5bed-769f-46ab-bb14-abd384122f2e · outbound

This paper cites Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.854480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.733664Z digest=sha256:6ab2ee7cc0ae7f13d1225676d5940b9142608b0c0b4a7784b73c429ea9045e50

Observation f98b02f3-c253-4c8a-81dc-555d42678d5a · outbound

This paper cites Duality between relax- ation and first passage in reversible Markov dynamics: rugged energy landscapes disentangled.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Duality between relax- ation and first passage in reversible Markov dynamics: rugged energy landscapes disentangled

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.833731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.744735Z digest=sha256:170602b3a8cf0a150fffe0d99f38758ab80755548f4b99c1081f12838fe5d0b9

Observation 415533ca-9d18-4b7c-967f-538b9593f01c · outbound

This paper cites The probabilistic solution of the third boundary value problem for second order elliptic equations.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces The probabilistic solution of the third boundary value problem for second order elliptic equations

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.812201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.755302Z digest=sha256:02ce92c849962adefa5edfcedb4d6a60829672774d83fd24fa1e53a05a44fe12

Observation cd3afcbf-f208-4b41-9705-8b3edbeb3877 · outbound

This paper cites On the Robin problem in Fractal Domains.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces On the Robin problem in Fractal Domains

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.793753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.763042Z digest=sha256:a8f6faba79ed71e66d0203df44956cb905e21d24a1481ca146af267594195e42

Observation a1f12b52-d9ea-419a-90e8-4c874db4effc · outbound

This paper cites Residence times and other function- als of reflected Brownian motion.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Residence times and other function- als of reflected Brownian motion

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.775349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.771728Z digest=sha256:b13c4d1dc252d173264f8ed29fc76068d67ea64fa93eed619cfd6c0541fb5020

Observation 1fc48fb3-af74-44e7-aafb-428cd141273c · outbound

This paper cites Par- tially reflected diffusion.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Par- tially reflected diffusion

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.753480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.786644Z digest=sha256:8e68352becaf7384d7f977807e6dd03a79c0e2a83707c751f0d536766b962d57

Observation 3a72d88a-3726-4c70-9f3d-89ccf0876586 · outbound

This paper cites Laplacian Eigenfunctions in NMR. II Theoretical Advances.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Laplacian Eigenfunctions in NMR. II Theoretical Advances

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.725680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.792084Z digest=sha256:772ef1658aa64a6d8686262fb80116b71c28212b65b93603e7b2ab415bde2948

Observation dfbb040e-491b-4972-9b79-951e64b48c0e · outbound

This paper cites Mathe- matical Basis for a General Theory of Laplacian Trans- port towards Irregular Interfaces.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Mathe- matical Basis for a General Theory of Laplacian Trans- port towards Irregular Interfaces

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.697935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.797160Z digest=sha256:7517c13e440187d7b455bd0f6a67f628fc0fe1676f61fd78bc5533aaa51ad1a5

Observation e677a12d-cfbb-4c09-90f8-0451b7435a14 · outbound

This paper cites Egorov, Pseudo-differential Operators, Singulari- ties, Applications (Berlin: Birkhauser, Basel, Boston, 1997).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Egorov, Pseudo-differential Operators, Singulari- ties, Applications (Berlin: Birkhauser, Basel, Boston, 1997)

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.671435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.806671Z digest=sha256:a120cfa4ccba4fa3a4068839aaf4ae5afdcf4a025be6a1aed9dfaa1be95a9f7e

Observation 99101c94-6f01-46c8-bde4-9cfee9dbc5e0 · outbound

This paper cites Jacob, Pseudo-differential Operators and Markov Processes (Berlin: Akademie-Verlag, 1996).

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Jacob, Pseudo-differential Operators and Markov Processes (Berlin: Akademie-Verlag, 1996)

Reference 99

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:30:59.647188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.813608Z digest=sha256:4d972ef4c1d6d2f94174505686eb18bce526dbf06ac859fe8a0f3162879f88c1

Observation d43bf36e-1474-4225-b224-34997a674a93 · outbound

This paper cites an unresolved cited work.

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces Unresolved cited work

Reference 100

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:30:59.623518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:30:58.821429Z digest=sha256:1191f9628b8707a932f9c57608eb47129652c57eac5fa788b7a1923fa740b52c

Pith citing papers

No inbound Pith citation observations are available.