Progress on the study of the Ginibre ensembles I: GinUE
SS Byun, PJ Forrester - arXiv preprint arXiv:2211.16223, 2022 - arxiv.org
The Ginibre unitary ensemble (GinUE) consists of $ N\times N $ random matrices with
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …
Lectures on Coulomb and Riesz gases
S Serfaty - arXiv preprint arXiv:2407.21194, 2024 - arxiv.org
arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …
Fluctuations of two dimensional Coulomb gases
Abstract We prove a Central Limit Theorem for the linear statistics of two-dimensional
Coulomb gases, with arbitrary inverse temperature and general confining potential, at the …
Coulomb gases, with arbitrary inverse temperature and general confining potential, at the …
Systems of points with Coulomb interactions
S Serfaty - European Mathematical Society Magazine, 2018 - ems.press
Sylvia Serfaty is interested in developing analysis tools to understand problems from
physics. She has extensively studied the Ginzburg–Landau model of super-conductivity and …
physics. She has extensively studied the Ginzburg–Landau model of super-conductivity and …
Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature
S Serfaty - Annales de l'Institut Henri Poincare (B) Probabilites et …, 2023 - projecteuclid.org
We obtain concentration estimates for the fluctuations of Coulomb gases in any dimension
and in a broad temperature regime, including very small and very large temperature regimes …
and in a broad temperature regime, including very small and very large temperature regimes …
Generative sliced MMD flows with Riesz kernels
Maximum mean discrepancy (MMD) flows suffer from high computational costs in large
scale computations. In this paper, we show that MMD flows with Riesz kernels $ K (x, y) …
scale computations. In this paper, we show that MMD flows with Riesz kernels $ K (x, y) …
The Wasserstein distance to the circular law
J Jalowy - Annales de l'Institut Henri Poincare (B) Probabilites et …, 2023 - projecteuclid.org
We investigate the Wasserstein distance between the empirical spectral distribution of non-
Hermitian random matrices and the circular law. For Ginibre matrices, we obtain an optimal …
Hermitian random matrices and the circular law. For Ginibre matrices, we obtain an optimal …
Local laws and rigidity for Coulomb gases at any temperature
S Armstrong, S Serfaty - 2021 - projecteuclid.org
We study Coulomb gases in any dimension d\geq2 and in a broad temperature regime. We
prove local laws on the energy, separation and number of points down to the microscopic …
prove local laws on the energy, separation and number of points down to the microscopic …
Overcrowding and separation estimates for the Coulomb gas
E Thoma - Communications on Pure and Applied Mathematics, 2024 - Wiley Online Library
We prove several results for the Coulomb gas in any dimension d≥ 2 d≥2 that follow from
isotropic averaging, a transport method based on Newton's theorem. First, we prove a high …
isotropic averaging, a transport method based on Newton's theorem. First, we prove a high …
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem
N Clozeau, F Mattesini - Probability Theory and Related Fields, 2024 - Springer
We study a random matching problem on closed compact 2-dimensional Riemannian
manifolds (with respect to the squared Riemannian distance), with samples of random points …
manifolds (with respect to the squared Riemannian distance), with samples of random points …