Precise Deviations for Disk Counting Statistics of Invariant Determinantal Processes

DOI10.1093/imrn/rnaa341zbMath1494.60051arXiv2003.07776OpenAlexW3119556367MaRDI QIDQ5082274

Marcel Fenzl, Gaultier Lambert

Publication date: 16 June 2022

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

Full work available at URL: https://arxiv.org/abs/2003.07776

zbMATH Keywords

2-dimensional determinantal processespolyanalytic Ginibre ensembles

Mathematics Subject Classification ID

Large deviations (60F10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (14)

Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles ⋮ The planar low temperature Coulomb gas: separation and equidistribution ⋮ Spherical induced ensembles with symplectic symmetry ⋮ 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 ⋮ Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles ⋮ Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials ⋮ Normality of smooth statistics for planar determinantal point processes ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices ⋮ Gaussian complex zeroes are not always normal: limit theorems on the disc ⋮ Universality of the number variance in rotational invariant two-dimensional Coulomb gases ⋮ Local maxima of white noise spectrograms and Gaussian entire functions ⋮ Optimal local law and central limit theorem for \(\beta\)-ensembles ⋮ Exponential moments for disk counting statistics of random normal matrices in the critical regime

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