Seminar series
Date
Tue, 05 May 2026
16:00
16:00
Location
L6
Speaker
Mariya Shcherbina
Organisation
School of Mathematics of University of Bristol and Institute for Low Temperature Physics, Kharkiv, Ukraine
We discuss the asymptotic local behavior of the second correlation functions of the characteristic polynomials of a certain class of Gaussian N X N non-Hermitian random band matrices with a bandwidth W. Given W,N → ∞, we show that this behavior near the point in the bulk of the spectrum exhibits the crossover at W ∼√N: it coincides with those for Ginibre ensemble for W ≫√N, and factorized as 1 ≪ W ≪√N. The behavior of the correlation function near the threshold (W/√N →C) will be also discussed.