Disk counting statistics near hard edges of random normal matrices: the multi-component regime (Q6119797)

scientific article; zbMATH DE number 7823122

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English	Disk counting statistics near hard edges of random normal matrices: the multi-component regime	scientific article; zbMATH DE number 7823122

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instance of

scholarly article

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title

Disk counting statistics near hard edges of random normal matrices: the multi-component regime (English)

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Advances in Mathematics

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publication date

25 March 2024

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full work available at URL

https://arxiv.org/abs/2210.13962

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zbMATH Keywords

oscillatory asymptotics

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moment generating functions

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random matrix theory

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MaRDI profile type

MaRDI publication profile

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cites work

Hole probabilities for \(\beta\)-ensembles and determinantal point processes in the complex plane

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Hole Probabilities for Finite and Infinite Ginibre Ensembles:

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Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble

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Permanental processes from products of complex and quaternionic induced Ginibre ensembles

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Gap probabilities in non-Hermitian random matrix theory

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Hole probabilities and overcrowding estimates for products of complex Gaussian matrices

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Characteristic polynomials of complex random matrix models

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Exponential moments for disk counting statistics at the hard edge of random normal matrices

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The random normal matrix model: insertion of a point charge

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The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem

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Q3103870

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Oscillatory Asymptotics for the Airy Kernel Determinant on Two Intervals

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Gap probabilities in the bulk of the Airy process

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The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem

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Breakdown of universality in multi-cut matrix models

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Asymptotic expansion of \(\beta \) matrix models in the one-cut regime

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Real Eigenvalues of Elliptic Random Matrices

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Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials

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Random normal matrices in the almost-circular regime

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Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials

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Entanglement entropy and Berezin-Toeplitz operators

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Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles

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

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On the structure of correlation functions in the normal matrix model

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Asymptotics for the partition function in two-cut random matrix models

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Characteristic Polynomials of Complex Random Matrices and Painlevé Transcendents

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A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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Density of eigenvalues of random normal matrices

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Sine‐kernel determinant on two large intervals

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Fluctuations and correlations for products of real asymmetric random matrices

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Partition function for multi-cut matrix models

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Coulomb gas ensembles and Laplacian growth

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What is the probability that a large random matrix has no real eigenvalues?

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Airy-kernel determinant on two large intervals

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Large deviation principle for empirical fields of log and Riesz gases

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Fluctuations of two dimensional Coulomb gases

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Asymptotic expansion of Toeplitz determinants of an indicator function with discrete rotational symmetry and powers of random unitary matrices

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Q4681935

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Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality

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Edge behavior of two-dimensional Coulomb gases near a hard wall

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Q4880419

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Asymptotische Eigenschaften der unvollständigen Gammafunktionen

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On the moments of the characteristic polynomial of a Ginibre random matrix

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Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals

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Identifiers

arXiv ID

2210.13962

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DOI

10.1016/j.aim.2024.109549

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6119797