Cover Image

On fluctuations of Coulomb systems and universality of the Heine distribution

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ameur, Yacin, Cronvall, Joakim
Format:	Preprint
Published:	2024
Subjects:	Mathematical Physics Complex Variables Probability 60B20, 82D10, 41A60, 58J52, 33C45, 33E05, 31C20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Asymptotics for a class of planar orthogonal polynomials and truncated unitary matrices
by: Deaño, Alfredo, et al.
Published: (2025)

Gaussian beta ensembles: the perfect freezing transition and its characterization in terms of Beurling-Landau densities
by: Ameur, Yacin, et al.
Published: (2022)

A New Special Function and Its Application in Probability
by: Rafik, Zeraoulia, et al.
Published: (2025)

Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge
by: Bornemann, Folkmar
Published: (2024)

Multi-level loop equations for $β$-corners processes
by: Dimitrov, Evgeni, et al.
Published: (2021)

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge II: Level Densities
by: Bornemann, Folkmar
Published: (2025)

A direct approach to soft and hard edge universality for random normal matrices
by: Cronvall, Joakim, et al.
Published: (2025)

An estimate for $β$-Hermite ensembles via the zeros of Hermite polynomials
by: Voit, Michael
Published: (2025)

Infinitely divisible modified Bessel distributions
by: Baricz, Árpád, et al.
Published: (2024)

The non-central gamma sum and difference distributions: exact distribution and asymptotic expansions
by: Gaunt, Robert E., et al.
Published: (2026)

Real Eigenvalues of Asymmetric Wishart Matrices: Expected Number, Global Density and Integrable Structure
by: Byun, Sung-Soo, et al.
Published: (2025)

Determinantal structure of the overlaps for induced spherical unitary ensemble
by: Noda, Kohei
Published: (2023)

Scaling limits of complex and symplectic non-Hermitian Wishart ensembles
by: Byun, Sung-Soo, et al.
Published: (2024)

On the Absolute-Value Integral of a Brownian Motion with Drift: Exact and Asymptotic Formulae
by: Xia, Weixuan, et al.
Published: (2023)

On the extremal eigenvalues of Jacobi ensembles at zero temperature
by: Hermann, Kilian, et al.
Published: (2025)

A diffusion model of surface soil pollution based on planar finite-velocity stochastic motion with random lifetime
by: Kolesnik, Alexander D.
Published: (2025)

Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge III: Generating Functions
by: Bornemann, Folkmar
Published: (2025)

Asymptotic expansions of the Humbert Function $Φ_1$ and their applications
by: Hang, Peng-Cheng, et al.
Published: (2025)

Universal scaling limits at the spectral singularity of structured random matrices
by: Ebke, Markus, et al.
Published: (2025)

The $q^{\mathrm{Volume}}$ lozenge tiling model via non-Hermitian orthogonal polynomials
by: Barhoumi, Ahmad, et al.
Published: (2025)

Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble
by: Akemann, Gernot, et al.
Published: (2024)

On the Distributions of Product and Quotient of two Independent $\hat{I}$-function variates
by: D'Souza, Vilma, et al.
Published: (2024)

A pluricomplex error-function kernel at the edge of polynomial Bergman kernels
by: Molag, L. D.
Published: (2026)

A generalization of Cardy's and Schramm's formulae
by: Khristoforov, Mikhail, et al.
Published: (2023)

Absolute moments of the variance-gamma distribution
by: Gaunt, Robert E.
Published: (2024)

The general Brannan coefficient conjecture and Watson's lemma
by: Dunster, T. M.
Published: (2026)

Macroscopic asymptotics in discrete beta-ensembles and random tilings
by: Borot, Gaëtan, et al.
Published: (2026)

On matrix product ansatz for Asymmetric Simple Exclusion Process with open boundary in the singular case
by: Bryc, Wlodzimierz, et al.
Published: (2019)

Crystallization of discrete $N$-particle systems at high temperature
by: Cuenca, Cesar, et al.
Published: (2025)

Identification of the residual term in multiplicative self-decomposition using Fox $H$-functions
by: da Silva, José Luís, et al.
Published: (2025)

Gaussian Free Field and Discrete Gaussians in Periodic Dimer Models
by: Berggren, Tomas, et al.
Published: (2025)

Random points on $\mathbb{S}^3$ with small logarithmic energy
by: Etayo, Ujué, et al.
Published: (2026)

Global asymptotics for $β$-Krawtchouk corners processes via multi-level loop equations
by: Dimitrov, Evgeni, et al.
Published: (2024)

Exact formula for the 2-marginal second moment function of the multidimensional symmetric Markov random flight
by: Kolesnik, Alexander D.
Published: (2026)

Marginals of the planar symmetric Markov random flight on long time intervals behave like the Goldstein-Kac telegraph process
by: Kolesnik, Alexander D.
Published: (2025)

Hua-Pickrell diffusions and differential equations related with pseudo-Jacobi polynomials
by: Auer, Martin, et al.
Published: (2026)

Exponentially slow Mixing arising from Entropic Repulsion in $p$-SOS model
by: Choi, Seokun
Published: (2025)

Scaling limits for nonlinear functionals of the discrete Gaussian free field with degenerate random conductances
by: Peter, Christof F., et al.
Published: (2026)

A New Proof of the Abstract Random Tensor Estimate by Deng, Nahmod, and Yue
by: Kaneshiro, Claire
Published: (2025)

Confluent hypergeometric kernel determinant on multiple large intervals
by: Xu, Taiyang, et al.
Published: (2025)