Paper Citation Record · LEDGER

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow

As of 8 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 4 inbound Pith citation observations for arXiv:2507.22029.

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

pith.paper-citation-record.v1
2507.22029 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:18:55.727542Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:43:23.712426Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T02:19:23.004851Z

Reference resolution

45 of 45 outbound references displayed

verified exact4
verified fuzzy29
unresolved12
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External citation measurements

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Outbound references

Observation e3738c2b-5865-4154-a839-f0f678533f65 · outbound

This paper cites Fundamental solution of the heat and schrödinger equations with point interaction.Journal of Functional Analysis, 130(1):220–254, 1995.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Fundamental solution of the heat and schrödinger equations with point interaction.Journal of Functional Analysis, 130(1):220–254, 1995

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.262822Z

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Observation 763d4f7d-573a-42ff-aef3-c75201845bf7 · outbound

This paper cites American Mathematical Soc., 2017.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow American Mathematical Soc., 2017

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:51.527968Z

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Observation d578bf33-5bab-4c72-9088-f5b52d62e24e · outbound

This paper cites Gaussian free field and Liouville quantum gravity.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Gaussian free field and Liouville quantum gravity

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:51.648222Z

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Observation 40d43906-c733-477b-abf0-baaf238a47ee · outbound

This paper cites The two-dimensional stochastic heat equation: renormalizing a multi- plicative noise.Journal of Physics A: Mathematical and General, 31(2):615, 1998.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The two-dimensional stochastic heat equation: renormalizing a multi- plicative noise.Journal of Physics A: Mathematical and General, 31(2):615, 1998

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.248533Z

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Observation aeef4f88-4cfe-4d40-806a-627650735889 · outbound

This paper cites Lectures on integrable probability.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Lectures on integrable probability

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.239945Z

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Observation 66fe265a-b750-403f-b4e0-2eb865ac2f00 · outbound

This paper cites Universality in marginally relevant disordered systems.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Universality in marginally relevant disordered systems

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.231322Z

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Observation 5073396d-6221-4417-8814-b1e89726f574 · outbound

This paper cites The dickman subordinator, renewal theorems, and disordered systems.Electron.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The dickman subordinator, renewal theorems, and disordered systems.Electron

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.223221Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b43183e8-aaad-4655-bd98-4a831b3aee58 · outbound

This paper cites On the moments of the (2+ 1)-dimensional di- rected polymer and stochastic heat equation in the critical window.Communications in Mathematical Physics, 372(2):385–440, 2019.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow On the moments of the (2+ 1)-dimensional di- rected polymer and stochastic heat equation in the critical window.Communications in Mathematical Physics, 372(2):385–440, 2019

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.214223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0b763fa3-3a30-4531-af81-2192541a8867 · outbound

This paper cites The two-dimensional kpz equation in the entire subcritical regime.The Annals of Probability, 48(3):1086–1127, 2020.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The two-dimensional kpz equation in the entire subcritical regime.The Annals of Probability, 48(3):1086–1127, 2020

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.205730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8b153bea-1e26-4f42-aacb-aa8f110db905 · outbound

This paper cites The critical 2d stochastic heat flow.Inventiones mathematicae, 233(1):325–460, 2023.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The critical 2d stochastic heat flow.Inventiones mathematicae, 233(1):325–460, 2023

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.197618Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4fd9a6a9-11f0-4c47-8c1a-f0ea9288204a · outbound

This paper cites The critical 2d stochastic heat flow is not a gaussian multiplicative chaos.The Annals of Probability, 51(6):2265–2300, 2023.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The critical 2d stochastic heat flow is not a gaussian multiplicative chaos.The Annals of Probability, 51(6):2265–2300, 2023

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.189509Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 17d52b21-e9de-4606-b65d-b6f0427733ac · outbound

This paper cites The Critical 2d Stochastic Heat Flow and Related Models.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The Critical 2d Stochastic Heat Flow and Related Models

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:52.703316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c59a4da-b700-4bdc-b820-68067ec6c533 · outbound

This paper cites Singularity and regularity of the critical 2D Stochastic Heat Flow.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Singularity and regularity of the critical 2D Stochastic Heat Flow

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:52.772589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64ef1c84-fdec-4db4-876f-7315b3885b12 · outbound

This paper cites Constructing a solution of the(2 + 1)-dimensional kpz equation.The Annals of Probability, 48(2):1014, 2020.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Constructing a solution of the(2 + 1)-dimensional kpz equation.The Annals of Probability, 48(2):1014, 2020

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.181414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a1b06771-51c9-4af0-80c7-5e421ed373e1 · outbound

This paper cites Precise intermittency for the parabolic anderson equation with an(1 + 1)-dimensional time–space white noise.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Precise intermittency for the parabolic anderson equation with an(1 + 1)-dimensional time–space white noise

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.173183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e77afbab-45fc-4978-9131-1753a925d8e3 · outbound

This paper cites Two-dimensional delta-Bose gas: skew-product relative motions.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Two-dimensional delta-Bose gas: skew-product relative motions

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:18:55.983337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7acd66b1-9a81-4092-82e2-bd295308d143 · outbound

This paper cites Delta-bose gas from the viewpoint of the two-dimensional stochastic heat equation.The Annals of Probability, 52(1):127–187, 2024.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Delta-bose gas from the viewpoint of the two-dimensional stochastic heat equation.The Annals of Probability, 52(1):127–187, 2024

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.164490Z

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Observation 0c51e89e-28be-4105-862a-9baa6a467bb7 · outbound

This paper cites Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:18:55.970996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ddbfb045-8596-4af7-9105-cc3b514b85aa · outbound

This paper cites Continuum polymer measures corresponding to the critical 2d stochastic heat flow.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Continuum polymer measures corresponding to the critical 2d stochastic heat flow

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:53.669062Z

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Observation a0735195-b8dc-468e-95c2-a38b04dd7d8d · outbound

This paper cites Conditional GMC within the stochastic heat flow.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Conditional GMC within the stochastic heat flow

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:53.797484Z

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Observation fd86512a-c809-4afe-9265-cb049bb303c5 · outbound

This paper cites Directed polymers in random environments: École d’été de probabilités de saint-flour xlvi–2016, vol.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Directed polymers in random environments: École d’été de probabilités de saint-flour xlvi–2016, vol

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.156561Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f0152d24-9db4-45c2-a6d0-d87fe32f2f92 · outbound

This paper cites Moments of partition functions of 2d gaussian polymers in the weak disorder regime-i.Communications in Mathematical Physics, 403(1):417–450, 2023.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Moments of partition functions of 2d gaussian polymers in the weak disorder regime-i.Communications in Mathematical Physics, 403(1):417–450, 2023

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.147905Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0100b4d2-a3dc-410b-9c9e-38b12571ed44 · outbound

This paper cites Law of iterated logarithms and fractal properties of the kpz equation.The Annals of Probability, 51(3):930–986, 2023.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Law of iterated logarithms and fractal properties of the kpz equation.The Annals of Probability, 51(3):930–986, 2023

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.139627Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2dbb1c5d-83e3-4bb3-988c-98f4a9e9968e · outbound

This paper cites Some problems concerning the structure of random walk paths.Acta Math.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Some problems concerning the structure of random walk paths.Acta Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.131530Z

Source-reported events for the cited work

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Observation 6bfda34c-d0a8-47f4-b0a4-4d1cc9a4ddc1 · outbound

This paper cites Curvature measures.Transactions of the American Mathematical Society, 93(3):418–491, 1959.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Curvature measures.Transactions of the American Mathematical Society, 93(3):418–491, 1959

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:54.358677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b2ced9f-3848-4b9f-b3c6-2930f04c0a84 · outbound

This paper cites Intermittence and nonlinear parabolic stochastic partial differ- ential equations.Electronic Journal of Probability, 14:548, 2009.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Intermittence and nonlinear parabolic stochastic partial differ- ential equations.Electronic Journal of Probability, 14:548, 2009

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.117985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1630b1c9-2105-4415-83a1-19e022d7157f · outbound

This paper cites Random metric geometries on the plane and kardar-parisi-zhang universality.Notices of the American Mathematical Society, 69(1), 2022.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Random metric geometries on the plane and kardar-parisi-zhang universality.Notices of the American Mathematical Society, 69(1), 2022

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.109981Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1d871fde-af0f-4e1a-9574-92d78b9da5c1 · outbound

This paper cites Fractal structure in the directed landscape.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Fractal structure in the directed landscape

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.101625Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bc636d3b-1fc6-4569-b016-74896d7c1065 · outbound

This paper cites Fractal Geometry of the Valleys of the Parabolic Anderson Equation.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Fractal Geometry of the Valleys of the Parabolic Anderson Equation

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:18:55.942721Z

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Observation 47981af7-b797-4e83-92ef-1974fae5e14c · outbound

This paper cites Fractal geometry of the PAM in 2D and 3D with white noise potential.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Fractal geometry of the PAM in 2D and 3D with white noise potential

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:54.837726Z

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Observation 1aa2802c-816e-402a-a891-56e68a0665f8 · outbound

This paper cites Gaussian fluctuations from the 2d kpz equation.Stochastics and Partial Differential Equations: Analysis and Computations, 8:150–185, 2020.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Gaussian fluctuations from the 2d kpz equation.Stochastics and Partial Differential Equations: Analysis and Computations, 8:150–185, 2020

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.093415Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c4da11d8-7111-4e3f-bad4-627c397de05e · outbound

This paper cites Moments of the 2d she at criticality.Probability and Mathematical Physics, 2(1):179–219, 2021.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Moments of the 2d she at criticality.Probability and Mathematical Physics, 2(1):179–219, 2021

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.084459Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation acbe32a4-3648-4374-81b4-5d857a026dee · outbound

This paper cites The tail distribution of the partition function for directed polymer in the weak disorder phase.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The tail distribution of the partition function for directed polymer in the weak disorder phase

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:18:55.922511Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6d5df354-0727-444e-ac17-6e416ffc2064 · outbound

This paper cites American Mathematical Soc., 2014.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow American Mathematical Soc., 2014

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.076153Z

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Observation 13fc3c36-610e-401e-88c9-ae2ff4838ce2 · outbound

This paper cites Linear algebraic techniques for weighted spanning tree enumeration.Linear Algebra and its Applications, 582:391–402, 2019.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Linear algebraic techniques for weighted spanning tree enumeration.Linear Algebra and its Applications, 582:391–402, 2019

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.067779Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 120bfae4-e340-4e14-97e1-414601c3c30a · outbound

This paper cites Longtime asymptotics of the two-dimensional parabolic anderson model with white-noise potential.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Longtime asymptotics of the two-dimensional parabolic anderson model with white-noise potential

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.059317Z

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Observation bfea79d8-b337-48c8-abb4-245b9a03c733 · outbound

This paper cites Royen’s proof of the gaussian correlation inequality.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Royen’s proof of the gaussian correlation inequality

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.050670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3f6e81e2-dcf8-4129-ac83-6a95dca595ba · outbound

This paper cites On the moments of the mass of shrinking balls under the critical2dstochastic heat flow.arXiv preprint arXiv:2410.14601, 2024.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow On the moments of the mass of shrinking balls under the critical2dstochastic heat flow.arXiv preprint arXiv:2410.14601, 2024

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:55.698351Z

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Unavailable: canonical work link unavailable.

Observation bd5a40bc-0532-4c3e-a45b-0c0a4e3d47f4 · outbound

This paper cites A multivariate extension of the erdős–taylor theorem.Probability Theory and Related Fields, 189(1):179–227, 2024.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow A multivariate extension of the erdős–taylor theorem.Probability Theory and Related Fields, 189(1):179–227, 2024

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.042446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 74b261e9-620f-47c8-b04e-ecc772ab06bf · outbound

This paper cites The scaling limit of the kpz equation in space dimension 3 and higher.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow The scaling limit of the kpz equation in space dimension 3 and higher

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.034055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4e5a0c25-510b-4e43-9d5e-d515595af563 · outbound

This paper cites A Condensation of Interacting Bosons in Two Dimensional Space.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow A Condensation of Interacting Bosons in Two Dimensional Space

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:55.716614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b121bf41-b33d-494f-8b6c-3f505cddea22 · outbound

This paper cites Gaussian multiplicative chaos and applications: A review.Probability Surveys, 11, 2014.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Gaussian multiplicative chaos and applications: A review.Probability Surveys, 11, 2014

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.025589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4f9712f4-3c21-4715-ac83-493722f8aef6 · outbound

This paper cites A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:55.721846Z

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Unavailable: canonical work link unavailable.

Observation daa21467-4d70-4940-894f-c8c5ceb7bd40 · outbound

This paper cites Stochastic heat flow by moments.arXiv preprint arXiv:2410.14657, 2024.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Stochastic heat flow by moments.arXiv preprint arXiv:2410.14657, 2024

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T12:18:55.724730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb9931f3-c6cb-4383-a930-ddc025122509 · outbound

This paper cites Directed polymers in a random environment: a review of the phase transitions.Stochastic Processes and their Applications, page 104431, 2024.

Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Directed polymers in a random environment: a review of the phase transitions.Stochastic Processes and their Applications, page 104431, 2024

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:18:56.016614Z

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Pith citing papers

Observation 3c5d001f-8f61-461c-bcfb-8c623fb01b13 · inbound

Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow cites this paper.

Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T17:43:23.712426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 394b567f-d19f-479a-a22d-dca1ac93d064 · inbound

Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers cites this paper.

Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-19T01:06:57.280388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 84d186e8-bf0f-4c58-9861-c7eace7f830d · inbound

Sharp behavior of the free energy for the two-dimensional directed polymer model cites this paper.

Sharp behavior of the free energy for the two-dimensional directed polymer model Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:06:12.302977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6f4e9eae-f3d3-4495-96ac-e02d7a507889 · inbound

Extrema of cooling branching Brownian motion and related Gaussian fields cites this paper.

Extrema of cooling branching Brownian motion and related Gaussian fields Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-04T02:19:23.006640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.