3 papers
math.PR2026
Fisher-Hartwig asymptotics for non-Hermitian random matrices
Paul Bourgade, Guillaume Dubach, Lisa Hartung +1
We prove the two-dimensional analogue of the asymptotics for Toeplitz determinants with Fisher-Hartwig singularities, for general real symbols. This formula has applications to ran…
math.PR2025
Non-intersecting Brownian Motions and Gaussian Multiplicative Chaos
Ahmet Keles
We obtain Fisher-Hartwig asymptotics with root and jump type singularities in space-time under the law of the stationary Hermitian Ornstein-Uhlenbeck process, which serve as a dyna…
cond-mat.quant-gas2025
Rotating anisotropic Bose gas with large number of vortices
A. Keles
Rapidly rotating atomic gases provide a platform for studying phenomena akin to type-II superconductors and quantum Hall systems. Recently, these systems have attracted renewed int…