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 …
Almost-Hermitian random matrices and bandlimited point processes
We study the distribution of eigenvalues of almost-Hermitian random matrices associated
with the classical Gaussian and Laguerre unitary ensembles. In the almost-Hermitian …
with the classical Gaussian and Laguerre unitary ensembles. In the almost-Hermitian …
Remarks on the one-point density of Hele-Shaw -ensembles
Y Ameur, E Troedsson - arXiv preprint arXiv:2402.13882, 2024 - arxiv.org
In this note we prove equicontinuity for the family of one-point densities with respect to a two-
dimensional Coulomb gas at an inverse temperature $\beta> 0$ confined by an external …
dimensional Coulomb gas at an inverse temperature $\beta> 0$ confined by an external …
The two-dimensional one-component plasma is hyperuniform
T Leblé - arXiv preprint arXiv:2104.05109, 2021 - arxiv.org
We prove that at all positive temperatures in the bulk of a classical two-dimensional one-
component plasma (also called Coulomb or log-gas, or jellium) the variance of the number …
component plasma (also called Coulomb or log-gas, or jellium) the variance of the number …