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Paper Citation Record · LEDGER

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2411.09614.

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pith.paper-citation-record.v1
2411.09614 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:37:30.334393Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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  • verified fuzzy26
  • unresolved7
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1532292f-64ce-40cb-9a69-d876193d288f · outbound

This paper cites Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.151650Z digest=sha256:c7e961842f565585a9ec72b099f0ff82c1edd80f1d0d7d164e2a08c7ba571785

Observation 943fcf84-df3d-499e-b731-0d63bfc29079 · outbound

This paper cites The stochastic heat equation: Feynman-kac formula and intermittence.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds The stochastic heat equation: Feynman-kac formula and intermittence

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.158148Z digest=sha256:72da13db9ddb0de3a5c0f43bf7d15d21115a261351e7016043dfdec35a3e3c15

Observation a6c1aed8-43ed-4ddd-90e6-0ce79fed429b · outbound

This paper cites Parabolic Anderson model in bounded domains of recurrent metric measure spaces.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Parabolic Anderson model in bounded domains of recurrent metric measure spaces

Reference 3

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no resolver link, observed 2026-08-12T20:37:30.164139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T20:37:30.164139Z digest=sha256:e267c5d9dfe27112a01410231fd97b73f38451828130b28b354f835ad73f9ed6

Observation 5e0fe89d-9e65-49e0-a5c7-f030de4f18f3 · outbound

This paper cites Global harmonic analysis for $\Phi^4_3$ on closed Riemannian manifolds.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Global harmonic analysis for $\Phi^4_3$ on closed Riemannian manifolds

Reference 4

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unresolved
no resolver link, observed 2026-08-12T20:37:30.171806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T20:37:30.171806Z digest=sha256:a1de76e4d80d6f0ab30c91f000ada49eae76146432a0fbc9a156f69f51521bbf

Observation acceeefc-3313-485d-8dde-0d2d626381ac · outbound

This paper cites Eigenvalues of the laplacian on balls with spherically symmetric metrics.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Eigenvalues of the laplacian on balls with spherically symmetric metrics

Reference 5

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.181052Z digest=sha256:91540c15fdf933985bcb8f66c135fb61c74d8d5ce8b675df4ed86d43a9a5574f

Observation f8168c1d-f6df-44f1-9521-df2b75ae7bb5 · outbound

This paper cites Stochastic burgers and kpz equations from particle systems.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Stochastic burgers and kpz equations from particle systems

Reference 6

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.186842Z digest=sha256:3e9c4c8c8a748857b8c128388a9a0a3b5bdb8c45cd0ff3b690eac2f3a7a51b58

Observation 0a331ef5-73d1-4438-b05c-49a3ba333fd3 · outbound

This paper cites Parabolic anderson model on heisenberg groups: The itô setting.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Parabolic anderson model on heisenberg groups: The itô setting

Reference 7

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raw_fallback, observed 2026-08-12T20:37:30.812537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.192824Z digest=sha256:997f8511b28ca575d1b7865a4f2ab8960b59e40c72dc4547efa8d8f96e1b31de

Observation 02c00ce8-0098-4d1a-aa4e-b9de64fb0d04 · outbound

This paper cites Parabolic stochastic pdes on bounded domains with rough initial conditions: moment and correlation bounds.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Parabolic stochastic pdes on bounded domains with rough initial conditions: moment and correlation bounds

Reference 8

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.197749Z digest=sha256:e46b49e8d6eacbc8393c60253fa61e97af01d1c1d1207070599d88b6d4808468

Observation b40c0497-a77f-4d88-8f34-92de00df7764 · outbound

This paper cites The heat kernel on asymptotically hyperbolic manifolds.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds The heat kernel on asymptotically hyperbolic manifolds

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.202954Z digest=sha256:b76a59f15491f6a5d157908269c44a085add428d2f47ee9e1ecb2a75f9f3b37e

Observation 2c4307fe-4390-422b-a5e2-91e001e676f9 · outbound

This paper cites Eigenvalues in Riemannian geometry.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Eigenvalues in Riemannian geometry

Reference 10

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.212551Z digest=sha256:8c504f5ff767bd38b2c49eba5933edcd3fb2e68c86df60184adf11d5b0a50b43

Observation 50511977-ac44-4f1a-b8a5-a8c4c3e734af · outbound

This paper cites Parabolic Anderson problem and intermittency , volume 518.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Parabolic Anderson problem and intermittency , volume 518

Reference 11

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.216823Z digest=sha256:1c6206fbfb0641b0420b508cde222dfda82d610576b72a8a05c44eb989c39508

Observation b42032e7-8bc7-4279-96f0-c5125c5b22a1 · outbound

This paper cites Parabolic Anderson model with colored noise on torus.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Parabolic Anderson model with colored noise on torus

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T20:37:30.221426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 16e07f69-f7e5-44c7-a8b0-0d197c3ab577 · outbound

This paper cites Universality in marginally disordered systems.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Universality in marginally disordered systems

Reference 13

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation fbed3379-f88e-4854-bd18-8ccce6bada44 · outbound

This paper cites Directed polymers on infinite graphs.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Directed polymers on infinite graphs

Reference 14

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verified fuzzy
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.229963Z digest=sha256:33bea899bd6d40b288cc772a11bc3b0c27d0193c23bd6252b6e2eb4b80bd551d

Observation 829da175-92cf-4918-bbf7-cc7fc1e5d697 · outbound

This paper cites A lower bound for the heat kernel.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds A lower bound for the heat kernel

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.234151Z digest=sha256:15afa2cd9b4cb13e75730dd96f14b46e910ac9b9250a5470c84fe011905e5167

Observation 1e46496a-ca36-4e02-9f8e-8ecd980032b7 · outbound

This paper cites Directed polymers in random environment are diffusive at weak disorder.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Directed polymers in random environment are diffusive at weak disorder

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.238201Z digest=sha256:33fc41cb63f393afca0ff911e3ea0a3ac037391650fc0676770382d400c75b8f

Observation f5a68642-b9f6-48f2-9604-da35fdeb57c9 · outbound

This paper cites Extending the martingale measure stochastic integral with applications to spatially homogeneous s.p.d.e.'s.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Extending the martingale measure stochastic integral with applications to spatially homogeneous s.p.d.e.'s

Reference 17

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.241928Z digest=sha256:bffc5bcaba273f2876a82e237f9797fd9626f86f68d717ed5b325e8a681d6ddd

Observation 9e8902c8-5a4c-4955-8c62-2dba02270022 · outbound

This paper cites A forward-backward sde from the 2d nonlinear stochastic heat equation.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds A forward-backward sde from the 2d nonlinear stochastic heat equation

Reference 18

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.245678Z digest=sha256:1bc4fed92e9cc07f287369d2867bf94f306930d624aedddce1680cfb9631f254

Observation decda5fb-5b57-4b73-9008-f0d41091d3e2 · outbound

This paper cites Fluctuations of the solutions to the kpz equation in dimensions three and higher.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Fluctuations of the solutions to the kpz equation in dimensions three and higher

Reference 19

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.250127Z digest=sha256:8bf7b8486ff39a6c75e7c6c59af7db604f329bdcef04d7a45602376ba0e8d176

Observation a3a1c02e-c371-40be-a837-0cf469e18cbe · outbound

This paper cites an unresolved cited work.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Unresolved cited work

Reference 20

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation aecd0f93-9faf-4981-9e5b-64471a2e4aa1 · outbound

This paper cites Intermittence and nonlinear parabolic stochastic partial differential equations.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Intermittence and nonlinear parabolic stochastic partial differential equations

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-12T20:37:30.640391Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.258685Z digest=sha256:eb7ccaaf2396a9e5e454214fcf9715eccccfebeaf2756972b5a7dc1819bddd32

Observation 64cd3d39-3fa3-4903-8a10-bfe90da1bfa9 · outbound

This paper cites Real Analysis: Modern Techniques and Applications.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Real Analysis: Modern Techniques and Applications

Reference 22

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.262474Z digest=sha256:bee8395fbf50092cd5205a1c0fa47118d2e50a7a9898a76ecb729c9c464b7085

Observation c5ae83f1-bef5-40a2-8191-4dfbb774f0de · outbound

This paper cites Fluctuations of stochastic pdes with long-range correlations, 2024.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Fluctuations of stochastic pdes with long-range correlations, 2024

Reference 23

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raw_fallback, observed 2026-08-12T20:37:30.611026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.267513Z digest=sha256:4e4e17b6d0e0a6695a970f1998cec1d5b05b4686994d1dbc9874c16b3dbf667e

Observation fdad06a0-8c11-436a-bd63-bd058bfc346f · outbound

This paper cites Stochastic heat equations with general multiplicative gaussian noises: H \"o lder continuity and intermittency.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Stochastic heat equations with general multiplicative gaussian noises: H \"o lder continuity and intermittency

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-12T20:37:30.595741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.271430Z digest=sha256:31f648e4ce7d4cf26718bd05a658f2b7d34fd47af715e80d99aa0da6ec05be68

Observation 4f81f8c6-537f-4176-9c0e-0cc1fd0818b3 · outbound

This paper cites Stochastic heat equation driven by fractional noise and local time.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Stochastic heat equation driven by fractional noise and local time

Reference 25

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raw_fallback, observed 2026-08-12T20:37:30.578042Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.275437Z digest=sha256:4b816b4b427bc5fb06623c4fc7b4e34b9e458e612140fea4b0badbef821837fb

Observation cf071c07-da9c-4844-83a0-376a9dfcd370 · outbound

This paper cites Regularity Structures on Manifolds and Vector Bundles.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Regularity Structures on Manifolds and Vector Bundles

Reference 26

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unresolved
no resolver link, observed 2026-08-12T20:37:30.280337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T20:37:30.280337Z digest=sha256:f7bc806ba4b1d894c46904d66e53316a948b90804456ea04f26740a63ae6874e

Observation 61b72912-580c-4480-a9ed-2f2cb5864c5c · outbound

This paper cites Non-linear noise excitation and intermittency under high disorder.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Non-linear noise excitation and intermittency under high disorder

Reference 27

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raw_fallback, observed 2026-08-12T20:37:30.562391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.285476Z digest=sha256:355573220262490f8077b033235cd5aae154ff04f7f8a504191ebb18264fb4b3

Observation c3cd83c8-cf04-4172-98bb-631fff8a7244 · outbound

This paper cites an unresolved cited work.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Unresolved cited work

Reference 28

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raw_fallback, observed 2026-08-12T20:37:30.547175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.291111Z digest=sha256:b9899b7295da5a36c9277eca4c3b65a404c08e0dd24fba4f2992c58187f0eeee

Observation 62ad4b25-f70e-414f-883a-7e20a686cd7b · outbound

This paper cites Ideas in the theory of random media.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Ideas in the theory of random media

Reference 29

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raw_fallback, observed 2026-08-12T20:37:30.525077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.296071Z digest=sha256:ce938b35d59d87768dcae86a79ac26910f3548598b404de369fb09abeb8d1c02

Observation 1fc18e65-a01c-4f04-939e-b6f945280685 · outbound

This paper cites Singular SPDEs on Homogeneous Lie Groups.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Singular SPDEs on Homogeneous Lie Groups

Reference 30

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verified exact
local_arxiv, observed 2026-08-12T20:37:30.384298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.301848Z digest=sha256:1eb76ef2618e6efa27ac278bbd589992124e2ed0c8b33fdc1eb7db2378bb237e

Observation a19aa78d-4573-43fe-bf1d-386410106bd4 · outbound

This paper cites The Malliavin Calculus and Related Topics.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds The Malliavin Calculus and Related Topics

Reference 31

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raw_fallback, observed 2026-08-12T20:37:30.507814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.316905Z digest=sha256:2388318f90f8322f499525d20d95e9462ef7f7d72edaf77b5758c8097ca66d7e

Observation ffde6f1a-7340-49a0-b5a1-ba3bbeaf6609 · outbound

This paper cites Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two

Reference 32

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verified fuzzy
raw_fallback, observed 2026-08-12T20:37:30.491597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.323299Z digest=sha256:435fb912c9bce55790e2f0b0208aff19bcf7b2122784df063c85c736f133183c

Observation f5b5f237-295e-4f91-8889-4dbdfa4460f9 · outbound

This paper cites Almost sure exponential behaviour for a parabolic spde on a manifold.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Almost sure exponential behaviour for a parabolic spde on a manifold

Reference 33

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raw_fallback, observed 2026-08-12T20:37:30.478535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.328576Z digest=sha256:f74e446d77f548d856481664e59c02b1db829c3c5c8a626da7ff809280d3196c

Observation 533aa2cd-5c66-4a6a-ac89-a8ca0d073f22 · outbound

This paper cites an unresolved cited work.

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds Unresolved cited work

Reference 34

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unresolved
raw_fallback, observed 2026-08-12T20:37:30.464463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T20:37:30.334393Z digest=sha256:212a24254d12bf68f054698bd7c67acc1bacaf8bb584575f57b108b4715ba9ea

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