Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:21:54.573376Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2608.12270.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:21:54.573376Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:05:09.633173Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T13:05:11.285330Z
51 of 51 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 306fa4af-c7c3-4367-833e-3d06550c81a4 · outbound
Logarithmic intermittency of the critical 2D SHF The intermediate disorder regime for directed polymers in dimension1 + 1.The Annals of Probability, 42(3):1212, 2014
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0fcd5834-6ebe-47a0-9935-892f70c507c0 · outbound
Logarithmic intermittency of the critical 2D SHF Fundamental solution of the heat and schrödinger equations with point interaction.Journal of Functional Analysis, 130(1):220–254, 1995
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e049003d-7307-4472-afc7-cef409c11722 · outbound
Logarithmic intermittency of the critical 2D SHF Probability distribution of the free energy of the continuum directed random polymer in 1+ 1 dimensions.Communications on pure and applied mathematics, 64(4):466–537, 2011
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9584afb1-a41a-43cb-89a6-acaec2ff088f · outbound
Logarithmic intermittency of the critical 2D SHF Basic properties of critical lognormal multiplicative chaos.Annals of Probability, 43(5):2205–2249, 2015
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2cc3b3bb-82e3-40b8-974f-ad50198f76f2 · outbound
Logarithmic intermittency of the critical 2D SHF Critical mandelbrot cascades.Communica- tions in Mathematical Physics, 325(2):685–711, 2014
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 36019998-e520-4b41-b65c-9d4e5053c6f9 · outbound
Logarithmic intermittency of the critical 2D SHF Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 544ca213-5cbd-4680-b464-b78244e3e548 · outbound
Logarithmic intermittency of the critical 2D SHF The accuracy of the gaussian approximation to the sum of independent variates.Transactions of the american mathematical society, 49(1):122–136, 1941
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 985a5c8b-325a-4825-90e8-771d90fd8b8b · outbound
Logarithmic intermittency of the critical 2D SHF The two-dimensional stochastic heat equation: renormalizing a multi- plicative noise.Journal of Physics A: Mathematical and General, 31(2):615, 1998
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba9b058d-7c01-494a-91b8-fac2b52fca55 · outbound
Logarithmic intermittency of the critical 2D SHF Extreme local extrema of two-dimensional discrete gaussian free field.Com- munications in Mathematical Physics, 345(1):271–304, 2016
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b89253bc-00da-4cea-a052-5fcbe2095091 · outbound
Logarithmic intermittency of the critical 2D SHF Convergence in law of the maximum of the two-dimensional discrete gaussian free field.Communications on Pure and Applied Mathematics, 69(1):62–123, 2016
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7428b8f8-11c2-420d-afc5-ec705eb4cd65 · outbound
Logarithmic intermittency of the critical 2D SHF Universality in marginally relevant disordered systems
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fb4bc9a-ae2b-4bfe-b5e6-f0f3a772ac20 · outbound
Logarithmic intermittency of the critical 2D SHF 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 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 886b45e4-15b6-4999-b650-35682de775d0 · outbound
Logarithmic intermittency of the critical 2D SHF The two-dimensional kpz equation in the entire subcritical regime.The Annals of Probability, 48(3):1086–1127, 2020
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3bb3f8f-0562-4c9e-9db2-502c7669baf9 · outbound
Logarithmic intermittency of the critical 2D SHF The critical 2d stochastic heat flow.Inventiones mathematicae, 233(1):325–460, 2023
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d28efeae-7b7e-4ad5-b18a-557fd0e20391 · outbound
Logarithmic intermittency of the critical 2D SHF The critical 2d stochastic heat flow is not a gaussian multiplicative chaos.The Annals of Probability, 51(6):2265–2300, 2023
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f58ae348-4b52-46ba-8fdf-45d32f6f3dac · outbound
Logarithmic intermittency of the critical 2D SHF The Critical 2d Stochastic Heat Flow and Related Models
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca4bf415-ba5a-41fa-b61c-34b47138b6b1 · outbound
Logarithmic intermittency of the critical 2D SHF Singularity and regularity of the critical 2D Stochastic Heat Flow
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42441b08-8c3a-4efc-bfa7-1b4cc7623a68 · outbound
Logarithmic intermittency of the critical 2D SHF Constructing a solution of the(2 + 1)-dimensional kpz equation.The Annals of Probability, 48(2):1014, 2020
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47b4bb41-3e6d-4f14-8152-dc272d2718e2 · outbound
Logarithmic intermittency of the critical 2D SHF Precise intermittency for the parabolic anderson equation with an(1 + 1)-dimensional time–space white noise
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a417209d-166a-4427-bd00-fa24d4cfbac5 · outbound
Logarithmic intermittency of the critical 2D SHF Two-dimensional delta-Bose gas: skew-product relative motions
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2406de5-7b18-4fd0-8f53-f73d50199c6f · outbound
Logarithmic intermittency of the critical 2D SHF Delta-bose gas from the viewpoint of the two-dimensional stochastic heat equation.The Annals of Probability, 52(1):127–187, 2024
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3661ef9-49cf-4835-add9-d5cf59487240 · outbound
Logarithmic intermittency of the critical 2D SHF Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b3580cb-1aa3-4dd0-89b6-bcde1b03d9e0 · outbound
Logarithmic intermittency of the critical 2D SHF Continuum polymer measures corresponding to the critical 2d stochastic heat flow.Communications in Mathematical Physics, 407(7):152, 2026
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cd545de3-78a0-4956-a370-8f8ec0df40ec · outbound
Logarithmic intermittency of the critical 2D SHF The kardar–parisi–zhang equation and universality class.Random Matrices: Theory and Applica- tions, 1(01):1130001, 2012
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3eaac6b1-bc22-4f86-948f-17f9ee4c8a94 · outbound
Logarithmic intermittency of the critical 2D SHF Law of iterated logarithms and fractal properties of the kpz equation.The Annals of Probability, 51(3):930–986, 2023
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84e48b02-5850-445d-8513-2c346fe5c73d · outbound
Logarithmic intermittency of the critical 2D SHF Liouville quantum gravity and kpz.Inventiones mathematicae, 185(2):333–393, 2011
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation debefc97-aa81-490e-be61-474c54784a99 · outbound
Logarithmic intermittency of the critical 2D SHF On the Liapounoff limit of error in the theory of probability.Arkiv för Matematik, Astronomi och Fysik, 28A(9):1–19, 1942
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4f1e5cd2-f849-4ab0-9f3b-58a1702eac93 · outbound
Logarithmic intermittency of the critical 2D SHF Intermittence and nonlinear parabolic stochastic partial differ- ential equations.Electronic Journal of Probability, 14:548, 2009
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7dbb104c-256f-4d06-987a-61d59c7d0300 · outbound
Logarithmic intermittency of the critical 2D SHF Cambridge University Press, Cambridge, 2017
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c3b41e1d-31d6-41a0-a276-dd4bb8b3bd43 · outbound
Logarithmic intermittency of the critical 2D SHF Fractal structure in the directed landscape
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9964d8ea-1f29-43b5-b0ed-c6a5c489001e · outbound
Logarithmic intermittency of the critical 2D SHF Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e37576b-cb59-4500-b9c0-8ac1fd39f57c · outbound
Logarithmic intermittency of the critical 2D SHF Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5c76f38d-af1c-4fa7-bc41-7a5d69e046a0 · outbound
Logarithmic intermittency of the critical 2D SHF Gaussian fluctuations from the 2d kpz equation.Stochastics and Partial Differential Equations: Analysis and Computations, 8:150–185, 2020
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9eb063f-50ea-4c05-8326-beb667484ad6 · outbound
Logarithmic intermittency of the critical 2D SHF Moments of the 2d she at criticality.Probability and Mathematical Physics, 2(1):179–219, 2021
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e0d91e4-8c73-40d2-a0c9-582766f5cb66 · outbound
Logarithmic intermittency of the critical 2D SHF Log log fluctuations of the stochastic heat flow.arXiv preprint arXiv:2603.03246, 2026
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b495c31e-b83c-4080-8b6a-226aee522ac4 · outbound
Logarithmic intermittency of the critical 2D SHF Paracontrolled distributions and singular pdes
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f65a9c44-c8d8-485d-9705-e9e03278c2a2 · outbound
Logarithmic intermittency of the critical 2D SHF A theory of regularity structures.Inventiones mathematicae, 198(2):269–504, 2014
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bd8d7307-7f1e-4624-9098-1270876a5682 · outbound
Logarithmic intermittency of the critical 2D SHF Thick points of the gaussian free field.The Annals of Probability, 38(2):896–926, 2010
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f925e728-d782-4bdd-98d7-dcba9f512ae7 · outbound
Logarithmic intermittency of the critical 2D SHF Fractional Moments of Small-Ball Masses for the Stochastic Heat Flow
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c2e2bd8-524e-4ed7-a1ef-2fca623795f2 · outbound
Logarithmic intermittency of the critical 2D SHF Sur le chaos multiplicatif.Ann
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6e81752c-7556-4b7b-b2a2-d678c9276f9a · outbound
Logarithmic intermittency of the critical 2D SHF American Mathematical Soc., 2014
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67bf13e4-acb4-4eac-b99d-88b264874161 · outbound
Logarithmic intermittency of the critical 2D SHF Linear algebraic techniques for weighted spanning tree enumeration.Linear Algebra and its Applications, 582:391–402, 2019
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09ba9fed-1de7-49b6-9c58-5e8455184292 · outbound
Logarithmic intermittency of the critical 2D SHF Royen’s proof of the gaussian correlation inequality
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 563682b7-75e0-4809-94db-73df4d9289cb · outbound
Logarithmic intermittency of the critical 2D SHF Wiener sausage and self-intersection local times.Journal of functional analysis, 88(2):299– 341, 1990
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 92f99e76-daaf-493c-8724-f07af8edd4ff · outbound
Logarithmic intermittency of the critical 2D SHF On the moments of the mass of shrinking balls under the critical 2d stochastic heat flow.Communications in Mathematical Physics, 407(6):132, 2026
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bdbd1cfd-1ec5-4d48-8a25-811793c2db45 · outbound
Logarithmic intermittency of the critical 2D SHF An upper bound of the lower tail of the mass of balls under the critical $2d$ stochastic heat flow
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 328a6186-73a9-4e37-907d-8c4c218075c5 · outbound
Logarithmic intermittency of the critical 2D SHF A Condensation of Interacting Bosons in Two Dimensional Space
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41ef91dc-8f7e-4cec-b244-f25624d9a70d · outbound
Logarithmic intermittency of the critical 2D SHF Gaussian multiplicative chaos and applications: A review.Probability Surveys, 11, 2014
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation db3ec712-b4af-4e8c-91f3-ecdadb5b9b89 · outbound
Logarithmic intermittency of the critical 2D SHF A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d5d7fcb-251b-4744-a663-edfab80953bd · outbound
Logarithmic intermittency of the critical 2D SHF The exact hausdorff measure of the sample path for planar brownian motion
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 34ac78f3-9739-45b0-b4f4-518bef41f043 · outbound
Logarithmic intermittency of the critical 2D SHF Stochastic heat flow by moments.arXiv preprint arXiv:2410.14657, 2024
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f75bd1b7-86f8-40b6-a1ad-6a3422a41cf2 · inbound
Fractional moments of the Stochastic Heat Flow and 2D Directed Polymers Logarithmic intermittency of the critical 2D SHF
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.