Paper Citation Record · LEDGER

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

As of 14 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2411.09614.

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

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 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact1
verified fuzzy26
unresolved7
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External citation measurements

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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; raw_fallback, observed 2026-08-12T20:37:30.869623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.857400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.845249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.829308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.799724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.788718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.776161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.759338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.745259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.732640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.719708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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; raw_fallback, observed 2026-08-12T20:37:30.705467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.692774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.679461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.666272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:37:30.652263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.627958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:30.578042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: unresolved; 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: verified fuzzy; 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 2026-08-14T06:32:32.682623+00:00.

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

Resolution: 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 2026-08-14T06:32:32.682623+00:00.

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