Higher order large gap asymptotics at the hard edge for Muttalib-Borodin ensembles

DOI10.1007/s00220-021-04059-1zbMath1465.60008arXiv1906.12130OpenAlexW3157616319MaRDI QIDQ2030375

Julian Mauersberger, Jonatan Lenells, Christophe Charlier

Publication date: 7 June 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.12130

zbMATH Keywords

Muttalib-Borodin ensembleslarge gap asymptotics

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Boundary value problems in the complex plane (30E25) Random matrices (algebraic aspects) (15B52) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (10)

Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities ⋮ Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles ⋮ Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble ⋮ The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials ⋮ Sine‐kernel determinant on two large intervals ⋮ Probability of two large gaps in the bulk and at the edge of the spectrum of random matrices ⋮ Gap probability for products of random matrices in the critical regime ⋮ A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles

Uses Software

• DLMF

Cites Work

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