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 …
Statistics of local level spacings in single-and many-body quantum chaos
P Tian, R Riser, E Kanzieper - Physical Review Letters, 2024 - APS
We introduce a notion of local level spacings and study their statistics within a random-
matrix-theory approach. In the limit of infinite-dimensional random matrices, we determine …
matrix-theory approach. In the limit of infinite-dimensional random matrices, we determine …
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 …
Improved discrepancy for the planar Coulomb gas at low temperatures
We study the planar Coulomb gas in the regime where the inverse temperature $\beta_n $
grows at least logarithmically with respect to the number of particles $ n $(freezing regime …
grows at least logarithmically with respect to the number of particles $ n $(freezing regime …
Statistics of local level spacings in quantum chaology
P Tian, R Riser, E Kanzieper - arXiv preprint arXiv:2308.06766, 2023 - arxiv.org
We introduce a notion of local level spacings and study their statistics within a random-
matrix-theory approach. In the limit of infinite-dimensional random matrices, we identify the …
matrix-theory approach. In the limit of infinite-dimensional random matrices, we identify the …
On a problem of E. Meckes for the unitary eigenvalue process on an arc
L Kryvonos, EB Saff - Analysis and Mathematical Physics, 2024 - Springer
We study the problem originally communicated by E. Meckes on the asymptotics for the
eigenvalues of the kernel of the unitary eigenvalue process of a random n× n matrix. The …
eigenvalues of the kernel of the unitary eigenvalue process of a random n× n matrix. The …