Large gap asymptotics on annuli in the random normal matrix model

DOI10.1007/s00208-023-02603-zarXiv2110.06908OpenAlexW3205627428MaRDI QIDQ6130288

Christophe Charlier

Publication date: 2 April 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06908

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 (2)

Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices

Cites Work

• Hole probabilities and overcrowding estimates for products of complex Gaussian matrices
• The right tail exponent of the Tracy-Widom \(\beta\) distribution
• On a problem for Ward's equation with a Mittag-Leffler potential
• Hard edge tail asymptotics
• Large deviations of radial statistics in the two-dimensional one-component plasma
• The asymptotics of a Bessel-kernel determinant which arises in random matrix theory
• Fluctuations of eigenvalues of random normal matrices
• Continuum limits of random matrices and the Brownian carousel
• Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel
• The Widom--Dyson constant for the gap probability in random matrix theory
• Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
• Asymptotics of the Airy-kernel determinant
• Large gaps between random eigenvalues
• A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
• On the structure of correlation functions in the normal matrix model
• Hole probabilities for \(\beta\)-ensembles and determinantal point processes in the complex plane
• Fluctuations of two dimensional Coulomb gases
• Deviations from the circular law
• A uniform asymptotic expansion for the incomplete gamma function
• Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals
• Asymptotic expansion of \(\beta \) matrix models in the one-cut regime
• Higher order large gap asymptotics at the hard edge for Muttalib-Borodin ensembles
• Planar orthogonal polynomials and boundary universality in the random normal matrix model
• Edge behavior of two-dimensional Coulomb gases near a hard wall
• Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles
• Asymptotic expansions of some Toeplitz determinants via the topological recursion
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Random complex zeroes. III: Decay of the hole probability
• Discontinuity in the asymptotic behavior of planar orthogonal polynomials under a perturbation of the Gaussian weight
• Point processes, hole events, and large deviations: random complex zeros and Coulomb gases
• Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
• Large charge fluctuations in classical Coulomb systems
• Large deviations for the Fermion point process associated with the exponential kernel
• Asymptotics for the partition function in two-cut random matrix models
• Density of eigenvalues of random normal matrices
• Asymptotics of Fredholm determinant associated with the Pearcey kernel
• The random normal matrix model: insertion of a point charge
• Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials
• Asymptotics of the Hole Probability for Zeros of Random Entire Functions
• Permanental processes from products of complex and quaternionic induced Ginibre ensembles
• Strong Asymptotics of the Orthogonal Polynomials with Respect to a Measure Supported on the Plane
• Asymptotics for a Determinant with a Confluent Hypergeometric Kernel
• Gap probabilities in non-Hermitian random matrix theory
• Asymptotics of spacing distributions 50 years later
• Fluctuation formula for complex random matrices
• Hole Probabilities for Finite and Infinite Ginibre Ensembles:
• Gaussian Complex Zeros on the Hole Event: The Emergence of a Forbidden Region
• The multiplicative constant for the Meijer-G kernel determinant
• Precise Deviations for Disk Counting Statistics of Invariant Determinantal Processes
• Large Gap Asymptotics at the Hard Edge for Product Random Matrices and Muttalib–Borodin Ensembles
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• On the moments of the characteristic polynomial of a Ginibre random matrix
• The Noise in the Circular Law and the Gaussian Free Field
• Oscillatory Asymptotics for the Airy Kernel Determinant on Two Intervals
• Gap probabilities in the bulk of the Airy process
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