Hole Probabilities for Finite and Infinite Ginibre Ensembles:
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Publication:4612070
DOI10.1093/imrn/rnw207zbMath1405.60066arXiv1604.08363OpenAlexW2963879204MaRDI QIDQ4612070
Kartick Adhikari, Nanda Kishore Reddy
Publication date: 22 January 2019
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.08363
Random matrices (probabilistic aspects) (60B20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Hole probabilities for \(\beta\)-ensembles and determinantal point processes in the complex plane ⋮ On the almost‐circular symplectic induced Ginibre ensemble ⋮ 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 ⋮ The forbidden region for random zeros: Appearance of quadrature domains ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices ⋮ Universality of the number variance in rotational invariant two-dimensional Coulomb gases
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