Exponential moments for disk counting statistics of random normal matrices in the critical regime

DOI10.1088/1361-6544/acb47cOpenAlexW4318778016MaRDI QIDQ5875959

Christophe Charlier, Jonatan Lenells

Publication date: 7 February 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00721

zbMATH Keywords

asymptotic analysisrandom matrix theorymoment generating functionsdeterminants with merging planar discontinuities

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Disk counting statistics near hard edges of random normal matrices: the multi-component regime ⋮ Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble ⋮ Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices ⋮ Random normal matrices in the almost-circular regime

Uses Software

• DLMF

Cites Work

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