Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T19:22:53.712583Z
Paper Citation Record · LEDGER
Airy$_\beta$ line ensemble and its Laplace transform
As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 4 inbound Pith citation observations for arXiv:2411.10829.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T00:13:09.221331Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-18T06:42:27.078715Z
Reference resolution
29 of 29 outbound references displayed
- verified exact8
- verified fuzzy13
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 72e0854f-07af-4af5-be35-0467b9021aee · outbound
This paper cites Edge scaling limit of Dyson Brownian motion at equilibrium for general $\beta \geq 1$.
Airy$_\beta$ line ensemble and its Laplace transform Edge scaling limit of Dyson Brownian motion at equilibrium for general $\beta \geq 1$
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:22:53.647291Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7212ba8a-452c-4c9a-a1c6-fe8a5769d65b · outbound
This paper cites Global asymptotics for $\beta$-Krawtchouk corners processes via multi-level loop equations.
Airy$_\beta$ line ensemble and its Laplace transform Global asymptotics for $\beta$-Krawtchouk corners processes via multi-level loop equations
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:22:53.572999Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2a42c08-56c5-415d-8a24-3f95a9476afb · outbound
This paper cites Multiple ising interfac es in annulus and 2n-sided Radial SLE.
Airy$_\beta$ line ensemble and its Laplace transform Multiple ising interfac es in annulus and 2n-sided Radial SLE
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.340484Z
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 75085a68-8f14-41cf-bda2-6ef2bba3482d · outbound
This paper cites Tridiagonal Models for Dyson Brownian Motion.
Airy$_\beta$ line ensemble and its Laplace transform Tridiagonal Models for Dyson Brownian Motion
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:22:53.903736Z
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 e2281c50-4817-49a2-94c1-13ea5f7a326b · outbound
This paper cites Random matrices and random permut ations.
Airy$_\beta$ line ensemble and its Laplace transform Random matrices and random permut ations
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.242412Z
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 592842c1-05cc-4327-9956-b5c26446615f · outbound
This paper cites Infinite-dimensional stochastic differential equations arising from Airy random point fields.
Airy$_\beta$ line ensemble and its Laplace transform Infinite-dimensional stochastic differential equations arising from Airy random point fields
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:22:53.846330Z
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 35c4feab-7fe5-4d34-bfbb-802537f9a124 · outbound
This paper cites Lectures on Coulomb and Riesz gases.
Airy$_\beta$ line ensemble and its Laplace transform Lectures on Coulomb and Riesz gases
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:22:53.681125Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c79a828-3416-4d80-9d28-f47f95c21206 · outbound
This paper cites Random planar c urves and Schramm-Loewner evolutions.
Airy$_\beta$ line ensemble and its Laplace transform Random planar c urves and Schramm-Loewner evolutions
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.194304Z
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 00bcb96d-aa52-44f1-bf79-4373046d9d66 · outbound
This paper cites Multiple SLEs and Dyson Brownian motion: transition density and Green's function.
Airy$_\beta$ line ensemble and its Laplace transform Multiple SLEs and Dyson Brownian motion: transition density and Green's function
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:22:53.783601Z
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 835cf4b6-b56b-460d-8f92-9a73ed508f79 · outbound
This paper cites Six-Vertex Model and Random Matrix Distributions.
Airy$_\beta$ line ensemble and its Laplace transform Six-Vertex Model and Random Matrix Distributions
Reference 957
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:22:53.927647Z
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 955aacc4-1e1a-4524-b693-278d641f3490 · outbound
This paper cites Generalized Dyson Brownian motion, McKean-Vlasov equation and eigenvalues of random matrices.
Airy$_\beta$ line ensemble and its Laplace transform Generalized Dyson Brownian motion, McKean-Vlasov equation and eigenvalues of random matrices
Reference 1903
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:22:53.652092Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff6293b2-ec60-42fc-a972-10562e8f7f8f · outbound
This paper cites Disjoint optimizers and the directed landscape.
Airy$_\beta$ line ensemble and its Laplace transform Disjoint optimizers and the directed landscape
Reference 1962
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:22:54.070188Z
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 80ea7fb7-6cf6-4463-812c-111ef3d0a605 · outbound
This paper cites Forrester and Taro Nagao.
Airy$_\beta$ line ensemble and its Laplace transform Forrester and Taro Nagao
Reference 1981
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.355634Z
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 57a3da0d-aa48-49be-9b39-8a341e6d5d65 · outbound
This paper cites Hankel transform vi a double Hecke algebra.
Airy$_\beta$ line ensemble and its Laplace transform Hankel transform vi a double Hecke algebra
Reference 1997
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.412216Z
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 31db5a97-a82f-41f3-926c-daeee4e40a82 · outbound
This paper cites Matrix models for multilevel Heckman-Opdam and multivariate Bessel measures.
Airy$_\beta$ line ensemble and its Laplace transform Matrix models for multilevel Heckman-Opdam and multivariate Bessel measures
Reference 1998
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:22:53.805156Z
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 ed4924b1-525d-4c32-885e-c74465e70963 · outbound
This paper cites Generating functions for interse ction numbers on moduli spaces of curves.
Airy$_\beta$ line ensemble and its Laplace transform Generating functions for interse ction numbers on moduli spaces of curves
Reference 2000
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.227407Z
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 a18a8756-a9ca-42eb-b769-6894dac88a44 · outbound
This paper cites Universality for mathematical and phy sical systems.
Airy$_\beta$ line ensemble and its Laplace transform Universality for mathematical and phy sical systems
Reference 2002
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.374136Z
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 00cd6c7e-8b29-4b75-a604-84a9ff77ca44 · outbound
This paper cites an unresolved cited work.
Airy$_\beta$ line ensemble and its Laplace transform Unresolved cited work
Reference 2004
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T19:22:54.257735Z
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 bb378547-a7c4-47e5-99b1-3f633983667f · outbound
This paper cites Johnstone.
Airy$_\beta$ line ensemble and its Laplace transform Johnstone
Reference 2005
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.291144Z
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 579d97d1-c9d0-414a-b26a-2fb107845350 · outbound
This paper cites Edge fluctuations of limit shapes.
Airy$_\beta$ line ensemble and its Laplace transform Edge fluctuations of limit shapes
Reference 2006
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.276117Z
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 af5c4045-4c88-4ba4-8288-d7e1a8d0ec38 · outbound
This paper cites Limits of Bessel functions for root systems as the rank tends to infinity.
Airy$_\beta$ line ensemble and its Laplace transform Limits of Bessel functions for root systems as the rank tends to infinity
Reference 2008
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T19:22:54.109396Z
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 4349a69c-bcd8-4fc5-a2a7-0505d35a0f4a · outbound
This paper cites Lecture notes on Cherednik algebras.
Airy$_\beta$ line ensemble and its Laplace transform Lecture notes on Cherednik algebras
Reference 2009
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:22:53.591239Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84884307-c0cb-4f89-95d0-a29e10371e5d · outbound
This paper cites Strong characteri zation for the Airy line ensem- ble.
Airy$_\beta$ line ensemble and its Laplace transform Strong characteri zation for the Airy line ensem- ble
Reference 2010
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:22:53.546944Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e850f5f0-46a3-4200-b7da-58e5fb62601c · outbound
This paper cites Universal behavior of the corners of o rbital beta processes.
Airy$_\beta$ line ensemble and its Laplace transform Universal behavior of the corners of o rbital beta processes
Reference 2012
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.391785Z
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 7d3c7121-0494-4250-bd7e-a0bbd0905dab · outbound
This paper cites A limit theorem at the spectral edge for corners of time-dependent Wigner matrices.
Airy$_\beta$ line ensemble and its Laplace transform A limit theorem at the spectral edge for corners of time-dependent Wigner matrices
Reference 2014
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.211057Z
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 d88b63dc-1161-49a2-825b-21e74c00e569 · outbound
This paper cites β-nonintersecting poisson random walks: law of large number s and central limit theorems.
Airy$_\beta$ line ensemble and its Laplace transform β-nonintersecting poisson random walks: law of large number s and central limit theorems
Reference 2017
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.307530Z
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 4c047a0a-b6e2-4117-8805-0ea01bf0c0ac · outbound
This paper cites On the l imit of the tridiagonal model for β-Dyson Brownian motion.
Airy$_\beta$ line ensemble and its Laplace transform On the l imit of the tridiagonal model for β-Dyson Brownian motion
Reference 2021
- Resolution
- verified exact
- raw_fallback, observed 2026-08-12T19:22:54.045373Z
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 3c1810f7-63c2-4301-beaf-5a905dc5a478 · outbound
This paper cites Rectangular Matrix Additions in Low and High Temperatures.
Airy$_\beta$ line ensemble and its Laplace transform Rectangular Matrix Additions in Low and High Temperatures
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T19:22:53.712583Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a7848a2-44b9-4af9-b671-cdf306c9028a · outbound
This paper cites Rigidity and edge universality of discrete β- ensembles.
Airy$_\beta$ line ensemble and its Laplace transform Rigidity and edge universality of discrete β- ensembles
Reference 2024
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T19:22:54.324607Z
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.
Pith citing papers
Observation 4f0af6a8-4458-45b8-86ab-a57bce22d49b · inbound
Eigenvalues of Heckman-Polychronakos operators cites this paper.
Eigenvalues of Heckman-Polychronakos operators Airy$_\beta$ line ensemble and its Laplace transform
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T00:13:09.221331Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4223719-6746-4172-964f-c009e7c6cea6 · inbound
Applications of optimal transport to Dyson Brownian Motions and beyond cites this paper.
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 4222ddf1-4180-4e5a-bee6-dd9c0623fd5d · inbound
Approximating the coefficients of the Bessel functions cites this paper.
Approximating the coefficients of the Bessel functions Airy$_\beta$ line ensemble and its Laplace transform
Reference 2010
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T10:27:41.668156Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b48b0600-09a6-4c07-9c51-44c5f7686f08 · inbound
The Tracy-Widom distribution at large Dyson index cites this paper.
The Tracy-Widom distribution at large Dyson index Airy$_\beta$ line ensemble and its Laplace transform
Reference 71
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T06:42:27.081397Z
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.