Disk counting statistics near hard edges of random normal matrices: the multi-component regime
From MaRDI portal
Publication:6119797
DOI10.1016/j.aim.2024.109549arXiv2210.13962MaRDI QIDQ6119797
Jonatan Lenells, Yacin Ameur, Joakim Cronvall, Christophe Charlier
Publication date: 25 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.13962
Random matrices (probabilistic aspects) (60B20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- What is the probability that a large random matrix has no real eigenvalues?
- Hole probabilities and overcrowding estimates for products of complex Gaussian matrices
- Fluctuations of linear eigenvalue statistics of \(\beta \) matrix models in the multi-cut regime
- 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
- Characteristic polynomials of complex random matrix models
- Hole probabilities for \(\beta\)-ensembles and determinantal point processes in the complex plane
- Large deviation principle for empirical fields of log and Riesz gases
- Fluctuations of two dimensional Coulomb gases
- 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
- Universality of the number variance in rotational invariant two-dimensional Coulomb gases
- Edge behavior of two-dimensional Coulomb gases near a hard wall
- Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles
- Entanglement entropy and Berezin-Toeplitz operators
- Point processes, hole events, and large deviations: random complex zeros and Coulomb gases
- Large charge fluctuations in classical Coulomb systems
- Asymptotics for the partition function in two-cut random matrix models
- Density of eigenvalues of random normal matrices
- Asymptotische Eigenschaften der unvollständigen Gammafunktionen
- The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem
- The random normal matrix model: insertion of a point charge
- Random normal matrices in the almost-circular regime
- Permanental processes from products of complex and quaternionic induced Ginibre ensembles
- Gap probabilities in non-Hermitian random matrix theory
- Truncations of random unitary matrices
- Breakdown of universality in multi-cut matrix models
- Hole Probabilities for Finite and Infinite Ginibre Ensembles:
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Coulomb gas ensembles and Laplacian growth
- Characteristic Polynomials of Complex Random Matrices and Painlevé Transcendents
- Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality
- On the moments of the characteristic polynomial of a Ginibre random matrix
- Partition function for multi-cut matrix models
- Large-Nexpansion for the 2D Dyson gas
- Oscillatory Asymptotics for the Airy Kernel Determinant on Two Intervals
- Gap probabilities in the bulk of the Airy process
- Exponential moments for disk counting statistics of random normal matrices in the critical regime
- Real Eigenvalues of Elliptic Random Matrices
- The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem
- Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials
- Asymptotic expansion of Toeplitz determinants of an indicator function with discrete rotational symmetry and powers of random unitary matrices
- Airy-kernel determinant on two large intervals
- Fluctuations and correlations for products of real asymmetric random matrices
- 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
- Sine‐kernel determinant on two large intervals
- Exponential moments for disk counting statistics at the hard edge of random normal matrices
