Large Gap Asymptotics at the Hard Edge for Product Random Matrices and Muttalib–Borodin Ensembles

DOI10.1093/imrn/rnx202zbMath1448.60019arXiv1612.01916OpenAlexW2560671885MaRDI QIDQ5243360

Dries Stivigny, Manuela Girotti, Tom Claeys

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01916

zbMATH Keywords

eigenvaluesRiemann-Hilbert problemrandom matricesMeijer's G-function

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Mittag-Leffler functions and generalizations (33E12) Boundary value problems in the complex plane (30E25)

Related Items (13)

Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities ⋮ Global rigidity and exponential moments for soft and hard edge point processes ⋮ Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble ⋮ A vector equilibrium problem for symmetrically located point charges on a sphere ⋮ A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels ⋮ The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential ⋮ Higher order large gap asymptotics at the hard edge for Muttalib-Borodin ensembles ⋮ Gap probability for products of random matrices in the critical regime ⋮ The multiplicative constant for the Meijer-G kernel determinant ⋮ The local universality of Muttalib–Borodin ensembles when the parameter θ is the reciprocal of an integer ⋮ A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles

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