Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles
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Publication:2172232
DOI10.1016/j.aim.2022.108600OpenAlexW3198210311MaRDI QIDQ2172232
Publication date: 15 September 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.03660
asymptotic analysisrandom matrix theorymoment generating functionsplanar Fisher-Hartwig singularities
Random matrices (probabilistic aspects) (60B20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (11)
Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials ⋮ Spherical induced ensembles with symplectic symmetry ⋮ Disk counting statistics near hard edges of random normal matrices: the multi-component regime ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ 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 ⋮ A review of exact results for fluctuation formulas in random matrix theory ⋮ Universality of the number variance in rotational invariant two-dimensional Coulomb gases ⋮ Exponential moments for disk counting statistics of random normal matrices in the critical regime
Uses Software
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