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Paper Citation Record · LEDGER

One- and two-particle spectral gap identities for the symmetric inclusion process and related models

As of 21 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2412.01489.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.01489 v2

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:40:24.681106Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:01:45.102583Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T15:47:11.019630Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact3
  • verified fuzzy42
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5a29cd0-c964-4eff-ba50-6ce2873b74a6 · outbound

This paper cites Alcaraz, Michel Droz, Malte Henkel, and Vladimir Rittenberg.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Alcaraz, Michel Droz, Malte Henkel, and Vladimir Rittenberg

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.475198Z digest=sha256:00cac210170641cc8b76883c19dbdf91f0a243008c2a476d310c4c5b7a2db5a3

Observation c44a69ff-dfec-4905-8f27-5cc55540681a · outbound

This paper cites R eversible M arkov C hains and R andom W alks on G raphs, 2002.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models R eversible M arkov C hains and R andom W alks on G raphs, 2002

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.339818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.480100Z digest=sha256:b2c0dfe984c73996aa8b50351e1be3e8af970e924f38520b313c189b39c27459

Observation c2230bc4-1ffb-4428-92d5-d6496b9d5353 · outbound

This paper cites Entropy inequalities for random walks and permutations.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Entropy inequalities for random walks and permutations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.328082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.484239Z digest=sha256:49b350e61d422cb4864278838288a6958e24ce7b3b56ff20f9614c208cc6165a

Observation a5830229-e9da-467a-bfee-7a264292b2d9 · outbound

This paper cites Metastability in the reversible inclusion process.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Metastability in the reversible inclusion process

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.317163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.488650Z digest=sha256:9c6aa419c12f59faeecb905603f5d8af44835c7980249971cc0201194677e4af

Observation c404bdc0-3d98-4f4b-b869-56b3b1fb0717 · outbound

This paper cites Metastability , volume 351 of Grundlehren der mathematischen Wissenschaften.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Metastability , volume 351 of Grundlehren der mathematischen Wissenschaften

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.305566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.492655Z digest=sha256:8008a1e10df54a47c87a8ea6c6ede9fc4cf91cbb856c74c5f256362461bbeea7

Observation ed46c061-f9e6-4440-8ca6-f969d847cbbc · outbound

This paper cites On the spectral gap of the K ac walk and other binary collision processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models On the spectral gap of the K ac walk and other binary collision processes

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.293930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f906a706-c393-4b9b-ab43-9cbbd5ffb1cd · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.500737Z digest=sha256:3308dc3c53cd44de21c31287eb24622dcaa2228665e2e1a1f0aa87fc4db1fe34

Observation 092a11f9-e8b3-41c4-8b7d-f039fee07b46 · outbound

This paper cites Duality for stochastic models of transport.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality for stochastic models of transport

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.505084Z digest=sha256:9bc51bffbb3dab7fac800536dff97a24a37bd626a70a7915d774b1e4b6d745d1

Observation ed268f5d-a041-4e07-ada6-600c4947f705 · outbound

This paper cites Mixing time of the adjacent walk on the simplex.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mixing time of the adjacent walk on the simplex

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.256261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.508592Z digest=sha256:0603f9823eef578c85ecfb86698458b4c2d8b1ce4ad77761154c8993eda79ff6

Observation bca5518a-c0c6-4c81-a6dc-5e041bf877ba · outbound

This paper cites Liggett, and Thomas Richthammer.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Liggett, and Thomas Richthammer

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.243557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d2be4340-674e-4b3b-971d-42d13d2eb2a7 · outbound

This paper cites On the spectrum of a neutral multi-allelic M oran model.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models On the spectrum of a neutral multi-allelic M oran model

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.230989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.516377Z digest=sha256:9742c849a51aa7b1ec5cdbc046ab29d1f01b322fe13dbc4f3664adeff716dad5

Observation 082021b0-8430-43b5-9b08-d54d8f89f883 · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:25.218568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.522459Z digest=sha256:7cb292d962fc6bfe73013998c11efa3d8ef0fe17ca2797b95609a27aa4950691

Observation f25e3b07-7176-4004-9584-1c9485b09794 · outbound

This paper cites Derrida, M.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Derrida, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.207072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.525932Z digest=sha256:d8a7dfd94eb894d5308038177e31f6b3f30fe1e28535172b9a9d740817a6f0e0

Observation d607a233-e0ed-47c6-92c9-bea80db23175 · outbound

This paper cites Ferrari, and Davide Gabrielli.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Ferrari, and Davide Gabrielli

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.195758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.530586Z digest=sha256:709183b553a52a1ef6240cb64214a9c529ff75c5943a4b03a68888046bd06ae1

Observation ae324e57-d767-4b49-8097-5fbd101b8fe7 · outbound

This paper cites Mathematical methods for hydrodynamic limits , volume 1501 of Lecture Notes in Mathematics.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mathematical methods for hydrodynamic limits , volume 1501 of Lecture Notes in Mathematics

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T04:40:24.535262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:40:24.535262Z digest=sha256:975f89ee4db29b96b1a6a7a7c27ddcd8b14a2fdcff27880406dcc939cc20e167

Observation d8647236-1791-4331-baa6-f17eca679308 · outbound

This paper cites Comparison theorems for reversible M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Comparison theorems for reversible M arkov chains

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.538912Z digest=sha256:55a6c68c6b53b52b800b23e855cba09b8614a94987ac70a20c2bc7e2a0745a72

Observation 08375523-29bd-45d0-b4a3-adb3610fff97 · outbound

This paper cites D ynamics on Graphs , 2024.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models D ynamics on Graphs , 2024

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.165546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.542486Z digest=sha256:5488dd7bbbddc16bdd0831fbbed311e83263eaee59ba4178d6625fcfd8d4ce93

Observation 5f002ff2-661c-427d-87a3-7a4771658216 · outbound

This paper cites Ethier and Thomas G.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Ethier and Thomas G

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.546066Z digest=sha256:1259f88dfa8b1285cdf44db61b85688c1d64c90df496f1a8918cf7159f8fb6aa

Observation 6c872e9d-2dce-4318-8d8e-8a862f603354 · outbound

This paper cites Integrable heat conduction model.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Integrable heat conduction model

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.142852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.549868Z digest=sha256:09cae4f0fcf3bb9f2d176677998c1c7ce4dcc54d3161d77adb9a54d88a76b77b

Observation de5eea41-6c33-4f0b-b867-4d2b0c6548c1 · outbound

This paper cites Duality and hidden equilibrium in transport models.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality and hidden equilibrium in transport models

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.130105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.553570Z digest=sha256:5cfb94a8ddf73785057191808c5a4a5d05dfc750ef86962669ea5c43549f2237

Observation cc99969f-7a03-4d1c-908f-0c41dc614f8c · outbound

This paper cites Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.557297Z digest=sha256:74ee778e6004f5d59cf34b77650e47b3932507fde9cd3182a804455cd39a84bf

Observation 1368f4e4-01b8-4fd4-83ac-e58f3dc82149 · outbound

This paper cites Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.102336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.561084Z digest=sha256:96d13ee1ef9222a42d2dba2f8c99ce1f1d643fc3ae197135abdcc7df7a9b0cae

Observation 1fdc4a84-2c28-43db-9179-4d14bc8c0c46 · outbound

This paper cites Duality and exact correlations for a model of heat conduction.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality and exact correlations for a model of heat conduction

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.087472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.564627Z digest=sha256:18bf078ea422da483a500c5993bd5b90fdc43047a69a5c204a4d6b12228c1697

Observation bc19a542-6d88-4380-86af-96b50ce49ff5 · outbound

This paper cites Duality and hidden symmetries in interacting particle systems.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality and hidden symmetries in interacting particle systems

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.074436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.568472Z digest=sha256:7cfc8b5182d7fbfad44e25f7661e29d27971c6ec2d246e842807396ec2537fa0

Observation 03474fd3-d9d9-4396-8bbe-cb6ad0dac7bb · outbound

This paper cites Intertwining and propagation of mixtures for generalized KMP models and harmonic models.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Intertwining and propagation of mixtures for generalized KMP models and harmonic models

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:40:24.765702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.573158Z digest=sha256:db6b99be90863c88e85b038f387803ad5b1e76c932521d54fb0498fcf378ba4f

Observation bbc9130e-eea5-4b96-801c-36bb8e90c0bb · outbound

This paper cites Dynamics of condensation in the symmetric inclusion process.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Dynamics of condensation in the symmetric inclusion process

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.061297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.577213Z digest=sha256:849cbf69aeb7d83f0bd720a44e8dad6e7de378f858b792545c416598e8ba4672

Observation ec1516bc-b06b-4fd3-8ab3-79ed1323887b · outbound

This paper cites Relaxation times are stationary hitting times of large sets.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Relaxation times are stationary hitting times of large sets

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:40:24.748615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.580972Z digest=sha256:3282da403dd90cddfb122f0bdbb954c6d06f9fbcb09c93a8b462833cdbe8f52e

Observation 63a3f78e-b75e-46b4-82be-18c0519325fe · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:25.049433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.585387Z digest=sha256:96b0a6706d58b89d05e8c20320ef317fad494009ee270fc7044f68ed78bc5f15

Observation 8526f92b-8d85-4cb3-be9d-fcbd6e818cc1 · outbound

This paper cites Second time scale of the metastability of reversible inclusion processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Second time scale of the metastability of reversible inclusion processes

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.036143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.589412Z digest=sha256:e522fe5ff6dfbacf7502689d26c3a6473253021927605d0be912bdf7deb4c028

Observation de6a907e-76b3-450a-8888-bdeb8db04b3a · outbound

This paper cites Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-12T04:40:24.593213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:40:24.593213Z digest=sha256:3fe7ba92b572c33d6f90af7ed221f74e9fd4fc91ba9e16f5ef4d0760709a694a

Observation 03b37881-48d2-4ade-bf5f-6bf043ef977b · outbound

This paper cites Scaling limits of interacting particle systems , volume 320 of Grundlehren der Mathematischen Wissenschaften.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Scaling limits of interacting particle systems , volume 320 of Grundlehren der Mathematischen Wissenschaften

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-12T04:40:24.597146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:40:24.597146Z digest=sha256:a1496c665875e2b69d62ea1980ec00cf58043c9a678681014a2a16d835afd881

Observation b5721a4b-6950-4509-9dc4-bd4e9d1d1dc7 · outbound

This paper cites Lesky, and Ren\'e F.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Lesky, and Ren\'e F

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.014490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.600718Z digest=sha256:f79dcdd419acad950957ba6762ca94503f1a573622ef9f7e36c3d10ba7bae436

Observation 5f384649-a7df-4435-94a7-7b04446e1226 · outbound

This paper cites Kipnis, C.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Kipnis, C

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.002966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.604252Z digest=sha256:5f04a2d584e55acea2abb0021b81f625960ffc1556c779dff6d7a93610400ed1

Observation 7ab78730-b449-43ad-88fb-70edc0116005 · outbound

This paper cites Condensation and metastable behavior of non-reversible inclusion processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Condensation and metastable behavior of non-reversible inclusion processes

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.991690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.607854Z digest=sha256:1f749a522751fe7ba8458c68a667c4895fabb3747bcbc2ac5d909426cce7eb42

Observation 62a98489-e208-4f67-96da-143c48be6df0 · outbound

This paper cites Spectral gap of the symmetric inclusion process.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Spectral gap of the symmetric inclusion process

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.980011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.612462Z digest=sha256:28330b0d729fdb8d494630851b943eec625528f5669b0ad155ff3ffdc8b495f2

Observation fd333b98-196f-4a72-b39d-2066beaa4c9b · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:24.967441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.616636Z digest=sha256:a29705e0df79016d30f6f1ddb16fc00904cce3a9386029ef5e344e8864e2a3e5

Observation 7c695363-4397-4a2b-b202-a62816bbe2fb · outbound

This paper cites Metastable M arkov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Metastable M arkov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.955836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.620660Z digest=sha256:37e48fcba3797a73b0ebf1c3853ec59f628bfcb28d5df54a12a60929ce175f4e

Observation 58fa986c-49a6-4220-b2fe-56d32f3a5ee1 · outbound

This paper cites Levin and Yuval Peres.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Levin and Yuval Peres

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.944892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.624127Z digest=sha256:84fdaab635bf980998826199dfa5ec80f72c7b17fa616a4160949283ca73de9f

Observation f89f9c99-14f7-41c1-a297-56d3588f5350 · outbound

This paper cites Mathematical aspects of mixing times in M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mathematical aspects of mixing times in M arkov chains

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.933303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.627842Z digest=sha256:11b7d5d69fed53d81e591c1938dec6da543e28789f824dcfc0d94aecfb5417d5

Observation 3c0c8785-10a9-48a2-8921-300b07c25585 · outbound

This paper cites Mixing of the symmetric beta-binomial splitting process on arbitrary graphs.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mixing of the symmetric beta-binomial splitting process on arbitrary graphs

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:40:24.720264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.631413Z digest=sha256:9c184a66c0114f2530940c12b12a9ff2cfef8fdb0132ddc6a7129a03c02b6974

Observation 307d8fae-b70e-4433-a615-c5f8cb7445f0 · outbound

This paper cites Mixing of the averaging process and its discrete dual on finite-dimensional geometries.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mixing of the averaging process and its discrete dual on finite-dimensional geometries

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.921534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.635418Z digest=sha256:d78386ecd90dc7b42c3a90d4eebfea0ba99a2211f5736bd8b23b2983e01cd067

Observation e4c079ce-9d48-43af-a80b-ce2f5b553b04 · outbound

This paper cites Factorized duality, stationary product measures and generating functions.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Factorized duality, stationary product measures and generating functions

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.909455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.639049Z digest=sha256:0422beb9bba4b423d8b054c4183b6df7c184e48327fe3a972d8ec4731040c5e8

Observation 72be8365-89f5-402f-a060-a0e0d72ff050 · outbound

This paper cites Universality of cutoff for exclusion with reservoirs.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Universality of cutoff for exclusion with reservoirs

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.898147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.642587Z digest=sha256:0af78762aae2e6a5d20be4ae279eb946a2a9111b4e467898e65679572df64e27

Observation 2caafe20-00c5-4e9d-a27b-2e94457d2827 · outbound

This paper cites Spectral gap and curvature of monotone M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Spectral gap and curvature of monotone M arkov chains

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.887204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.646379Z digest=sha256:f20d4eaa1ea87037a025d5691096716374c616938ceeefd02bc3c41f823e052c

Observation 9cb05ab9-5f1c-4d4c-a1fc-a55f25c15807 · outbound

This paper cites Spectral gap for stochastic energy exchange model with nonuniformly positive rate function.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Spectral gap for stochastic energy exchange model with nonuniformly positive rate function

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.875595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.650137Z digest=sha256:4461a4549ef0898d543fabc5dd669fefc3a47f87c293730d3e8ea7b5a031e561

Observation eb4a4887-1269-43ff-8608-4662426946f4 · outbound

This paper cites Lectures on finite M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Lectures on finite M arkov chains

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.862767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.653596Z digest=sha256:4c1554bdb91c199d001f70b1dd10cf5b93284558ba282bf42d9990678a2e428e

Observation f465e1f2-7572-404d-b8fe-74088aa83377 · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:24.850699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.657257Z digest=sha256:13695bb7b3d46a23bb6cae5784ece14a1df397932015de809dd8322adb6138dc

Observation 4704c857-8bc3-4044-a35d-66dd3f08887e · outbound

This paper cites \' E quations diff\' e rentielles provenant de la g\' e n\' e tique des populations.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models \' E quations diff\' e rentielles provenant de la g\' e n\' e tique des populations

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.838597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.661300Z digest=sha256:13fd3ae3f784afc54808ae820f7fc339e06e7cc637cbfc9c480b31b22896c3ae

Observation 86cc0e20-4f20-4a9b-89a5-8c75d48f596a · outbound

This paper cites A G ibbs sampler on the n -simplex.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models A G ibbs sampler on the n -simplex

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.826739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.665004Z digest=sha256:fb191a793e155fe6dea4a1e12e2184db870550c98addcf1d8e24a4c97f9c11cf

Observation 79b265f7-4859-41a9-8a97-71f67abcbb69 · outbound

This paper cites Interaction of M arkov processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Interaction of M arkov processes

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.814127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.668645Z digest=sha256:7c2926ffd98433b94c72ee640f73f77ca4338277099b4f97bf7f0e6d6e06b62b

Observation 062a3490-6900-49ac-8aad-883a74d0ba89 · outbound

This paper cites Long range correlations for stochastic lattice gases in a nonequilibrium steady state.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Long range correlations for stochastic lattice gases in a nonequilibrium steady state

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.802238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.673283Z digest=sha256:472725df33e8c34919243eb3011920533b8bae0082f36af116815b1949465f29

Observation 4b96c17e-5a06-48db-87e2-763ac5259a4d · outbound

This paper cites Large scale dynamics of interacting particles.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Large scale dynamics of interacting particles

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.791444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.677237Z digest=sha256:ecfd17c347e7e458adbe84a48923c88321ecd53793895bc118f4687a0fe0305d

Observation 43ad44c3-41ec-4e78-b3f9-fee5f13f4065 · outbound

This paper cites Nash inequality for diffusion processes associated with D irichlet distributions.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Nash inequality for diffusion processes associated with D irichlet distributions

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.779434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.681106Z digest=sha256:3878210354e9fb900242c91dc9935060b1abd01f4679e620cc7e15e7398eb91c

Pith citing papers

Observation c9f18038-5f75-4cc5-bd30-95b4500ba955 · inbound

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs cites this paper.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs One- and two-particle spectral gap identities for the symmetric inclusion process and related models

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-16T01:01:45.102583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T01:01:45.102583Z digest=sha256:2ce96b4c041cd3d9c31ef13c8e812e0c9789cdcffdb9781b44b41483045e2264

Observation 31f6bebe-5620-4f65-9c7a-dc19ce520677 · inbound

Convergence of the Condensing Symmetric Inclusion Process on the Torus in the Thermodynamical Limit to Coalescing Brownian Motions cites this paper.

Convergence of the Condensing Symmetric Inclusion Process on the Torus in the Thermodynamical Limit to Coalescing Brownian Motions One- and two-particle spectral gap identities for the symmetric inclusion process and related models

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-06-23T04:13:37.958066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-09T19:14:17.930759Z digest=sha256:596e94d1bb31c1a77b4f55fab432d31169dffa95bd9fd9a2e22f7fa63a94bcab