Paper Citation Record · LEDGER

Applications of optimal transport to Dyson Brownian Motions and beyond

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2412.17389.

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

pith.paper-citation-record.v1
2412.17389 v4

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:43:13.686267Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T14:08:13.816145Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T14:11:27.595445Z

Reference resolution

43 of 43 outbound references displayed

verified exact1
verified fuzzy26
unresolved16
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ffe6ce12-876f-4d08-8a31-6263450f6da2 · outbound

This paper cites Ferrari, and Pierre van Moerbeke.

Applications of optimal transport to Dyson Brownian Motions and beyond Ferrari, and Pierre van Moerbeke

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.689344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c0f14856-f3db-425f-bf6c-c2e12fa8bd01 · outbound

This paper cites Anderson, Alice Guionnet, and Ofer Zeitouni.

Applications of optimal transport to Dyson Brownian Motions and beyond Anderson, Alice Guionnet, and Ofer Zeitouni

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.480238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b154c33-4ea2-4ccc-8b63-1576a431fb9c · outbound

This paper cites Strong characterization for the A iry line ensemble.

Applications of optimal transport to Dyson Brownian Motions and beyond Strong characterization for the A iry line ensemble

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.485004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2cbaa14-d6b9-40e8-a0c5-a5bff9a1745d · outbound

This paper cites Billingsley.

Applications of optimal transport to Dyson Brownian Motions and beyond Billingsley

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.490426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6be7fe96-dd2f-4fdd-a045-bf6eb60a0349 · outbound

This paper cites Log-concavity in one-dimensional coulomb gases and related ensembles.

Applications of optimal transport to Dyson Brownian Motions and beyond Log-concavity in one-dimensional coulomb gases and related ensembles

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.495449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16b1f858-a869-440b-9205-f1945f4e413d · outbound

This paper cites Exponential functionals of B rownian motion and class-one W hittaker functions.

Applications of optimal transport to Dyson Brownian Motions and beyond Exponential functionals of B rownian motion and class-one W hittaker functions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.650237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 94b2fff9-5f58-480f-a84f-9d3d0401620d · outbound

This paper cites Caffarelli.

Applications of optimal transport to Dyson Brownian Motions and beyond Caffarelli

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.632962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b34e1880-d472-4c96-94a5-44fb863601b0 · outbound

This paper cites Stochastic L oewner evolution and D yson's circular ensembles.

Applications of optimal transport to Dyson Brownian Motions and beyond Stochastic L oewner evolution and D yson's circular ensembles

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.615768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7cfb613e-4391-4548-be81-b777d466e5ba · outbound

This paper cites Brownian G ibbs property for A iry line ensembles.

Applications of optimal transport to Dyson Brownian Motions and beyond Brownian G ibbs property for A iry line ensembles

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.516193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ce7e595-957b-489c-90bb-e485f0c42446 · outbound

This paper cites K PZ line ensemble.

Applications of optimal transport to Dyson Brownian Motions and beyond K PZ line ensemble

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.587053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b7f85a12-cde5-4838-96d7-438e6a7f5a1a · outbound

This paper cites Airy wanderer line ensembles.

Applications of optimal transport to Dyson Brownian Motions and beyond Airy wanderer line ensembles

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:43:13.820926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 61b24b8d-1f08-4bcd-a1c7-a4c0f8144299 · outbound

This paper cites Unimodality, convexity, and applications.

Applications of optimal transport to Dyson Brownian Motions and beyond Unimodality, convexity, and applications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.568061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2b3145bf-fcd6-42e3-84c6-d5bf132f959c · outbound

This paper cites Characterization of B rownian G ibbsian line ensembles.

Applications of optimal transport to Dyson Brownian Motions and beyond Characterization of B rownian G ibbsian line ensembles

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.549238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3deb01b4-d055-4f64-9c2f-9535aab7c557 · outbound

This paper cites Uniform convergence to the airy line ensemble.

Applications of optimal transport to Dyson Brownian Motions and beyond Uniform convergence to the airy line ensemble

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.529964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5ee912fc-25af-4680-8ca3-5c1d7f086b8a · outbound

This paper cites The directed landscape.

Applications of optimal transport to Dyson Brownian Motions and beyond The directed landscape

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.509766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation faa5842c-eef8-45ae-ab10-896dd2f5e84f · outbound

This paper cites Bulk properties of the A iry line ensemble.

Applications of optimal transport to Dyson Brownian Motions and beyond Bulk properties of the A iry line ensemble

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.493497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c9306bfe-b18f-4f09-8253-402307911ca3 · outbound

This paper cites The scaling limit of the longest increasing subsequence.

Applications of optimal transport to Dyson Brownian Motions and beyond The scaling limit of the longest increasing subsequence

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.556006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0064f791-e430-4bf1-9987-df118fc0974b · outbound

This paper cites an unresolved cited work.

Applications of optimal transport to Dyson Brownian Motions and beyond Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:43:14.475617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 71d26094-080f-4de1-acc8-d05fc29d0944 · outbound

This paper cites Feyel and A.

Applications of optimal transport to Dyson Brownian Motions and beyond Feyel and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.455700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13989638-2e88-491f-b9d5-56394d419ff3 · outbound

This paper cites an unresolved cited work.

Applications of optimal transport to Dyson Brownian Motions and beyond Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:43:14.438278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c4223719-6746-4172-964f-c009e7c6cea6 · outbound

This paper cites Airy$_\beta$ line ensemble and its Laplace transform.

Applications of optimal transport to Dyson Brownian Motions and beyond Airy$_\beta$ line ensemble and its Laplace transform

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.575304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47fea0d0-5c0f-40b9-be20-e804078133bd · outbound

This paper cites A convex/log-concave correlation inequality for G aussian measure and an application to abstract W iener spaces.

Applications of optimal transport to Dyson Brownian Motions and beyond A convex/log-concave correlation inequality for G aussian measure and an application to abstract W iener spaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.419923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 11fb4105-51e7-4730-aec9-51a22af16d22 · outbound

This paper cites A convergence framework for Airy$_\beta$ line ensemble via pole evolution.

Applications of optimal transport to Dyson Brownian Motions and beyond A convergence framework for Airy$_\beta$ line ensemble via pole evolution

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.586427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d8572c2-a1f4-4af5-b84c-ec318f9de1c1 · outbound

This paper cites Gaussian H ilbert spaces , volume 129 of Cambridge Tracts in Mathematics.

Applications of optimal transport to Dyson Brownian Motions and beyond Gaussian H ilbert spaces , volume 129 of Cambridge Tracts in Mathematics

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.399468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e441df62-5493-4c7c-851e-b146a6583534 · outbound

This paper cites Dynamic scaling of growing interfaces.

Applications of optimal transport to Dyson Brownian Motions and beyond Dynamic scaling of growing interfaces

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.379493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation be53c5cc-4569-4d12-af51-db77b42a0da1 · outbound

This paper cites Edge scaling limit of Dyson Brownian motion at equilibrium for general $\beta \geq 1$.

Applications of optimal transport to Dyson Brownian Motions and beyond Edge scaling limit of Dyson Brownian motion at equilibrium for general $\beta \geq 1$

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.602479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c97aaa7a-1f24-4058-83e1-7a3f767f9c63 · outbound

This paper cites The B rownian transport map.

Applications of optimal transport to Dyson Brownian Motions and beyond The B rownian transport map

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.607641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c26cd06-e9cb-415a-bef0-4c784966bba4 · outbound

This paper cites Intermediate disorder limits for multi-layer semi-discrete directed polymers.

Applications of optimal transport to Dyson Brownian Motions and beyond Intermediate disorder limits for multi-layer semi-discrete directed polymers

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.348523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 16eb934b-1adc-46fb-ac65-72fc35614801 · outbound

This paper cites Directed polymers and the quantum T oda lattice.

Applications of optimal transport to Dyson Brownian Motions and beyond Directed polymers and the quantum T oda lattice

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.329875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d4597b7-73bf-4ba8-9cb0-82ed3c749e95 · outbound

This paper cites A multi-layer extension of the stochastic heat equation.

Applications of optimal transport to Dyson Brownian Motions and beyond A multi-layer extension of the stochastic heat equation

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.308887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 08848907-3175-4d68-8d7d-024afa515217 · outbound

This paper cites Brownian analogues of B urke's theorem.

Applications of optimal transport to Dyson Brownian Motions and beyond Brownian analogues of B urke's theorem

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.627059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aeb8f7c8-3ede-40d9-a435-1003fbf863d7 · outbound

This paper cites Scale invariance of the PNG droplet and the A iry process.

Applications of optimal transport to Dyson Brownian Motions and beyond Scale invariance of the PNG droplet and the A iry process

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.275028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 331f1d25-98ae-41b3-976a-6e1dda9f1725 · outbound

This paper cites an unresolved cited work.

Applications of optimal transport to Dyson Brownian Motions and beyond Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:43:14.257676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 32f18cf6-d5ee-42db-8d40-543ef944e653 · outbound

This paper cites Ram\'irez, Brian Rider, and B\'alint Vir\'ag.

Applications of optimal transport to Dyson Brownian Motions and beyond Ram\'irez, Brian Rider, and B\'alint Vir\'ag

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.239683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 89339127-31b2-430d-8bad-85739380cdd3 · outbound

This paper cites an unresolved cited work.

Applications of optimal transport to Dyson Brownian Motions and beyond Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:43:14.218024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 00a6f389-7e03-4944-b283-9e7d5952402b · outbound

This paper cites Continuous martingales and B rownian motion , volume 293 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Applications of optimal transport to Dyson Brownian Motions and beyond Continuous martingales and B rownian motion , volume 293 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.199177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a734c598-e975-41fc-8920-e5fabb5df143 · outbound

This paper cites Convexity , volume 187 of Cambridge Tracts in Mathematics.

Applications of optimal transport to Dyson Brownian Motions and beyond Convexity , volume 187 of Cambridge Tracts in Mathematics

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.182031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20354d47-c961-4911-8d3e-8e3f1b3b9625 · outbound

This paper cites Stroock and S.

Applications of optimal transport to Dyson Brownian Motions and beyond Stroock and S

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.164721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 598e8603-c966-4a9c-92f5-a720dcf18706 · outbound

This paper cites Infinite dimensional stochastic differential equations for D yson's model.

Applications of optimal transport to Dyson Brownian Motions and beyond Infinite dimensional stochastic differential equations for D yson's model

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.146961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 61e93710-eb1e-4ba9-8731-0958972ecaac · outbound

This paper cites Tracy and Harold Widom.

Applications of optimal transport to Dyson Brownian Motions and beyond Tracy and Harold Widom

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.129495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 215fd9de-699d-4b88-86fc-9b62ae691e05 · outbound

This paper cites Convergence of the KPZ line ensemble.

Applications of optimal transport to Dyson Brownian Motions and beyond Convergence of the KPZ line ensemble

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.112910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c191f0ed-6357-47f3-b8bb-d91682b502ef · outbound

This paper cites The B essel line ensemble.

Applications of optimal transport to Dyson Brownian Motions and beyond The B essel line ensemble

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:43:14.095488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3bc9048a-1b41-48c7-814e-15f2db7bdb79 · outbound

This paper cites The KPZ equation and the directed landscape.

Applications of optimal transport to Dyson Brownian Motions and beyond The KPZ equation and the directed landscape

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-11T05:43:13.686267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7af54e6e-6eba-4687-8366-f9a7bf21b7bd · inbound

Quantitative Brownian regularity of the KPZ fixed point with arbitrary initial data cites this paper.

Quantitative Brownian regularity of the KPZ fixed point with arbitrary initial data Applications of optimal transport to Dyson Brownian Motions and beyond

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-18T14:11:27.597940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.