M. Shcherbina

activity

20012022

most citedCentral Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices

117 citations · 544 across the 23 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math-ph2016★ 11 cited

Transfer matrix approach to 1d random band matrices: density of states

Mariya Shcherbina, Tatyana Shcherbina

We study the special case of $n \times n$ 1D Gaussian Hermitian random band matrices, when the covariance of the elements is determined by the matrix $J = (- W^{2} △ + 1)^{- 1}$ . Ass…

math-ph2016★ 34 cited

Characteristic polynomials for 1D random band matrices from the localization side

Mariya Shcherbina, Tatyana Shcherbina

We study the special case of $n \times n$ 1D Gaussian Hermitian random band matrices, when the covariance of the elements is determined by $J = (- W^{2} △ + 1)^{- 1}$ . Assuming that…

quant-ph2016★ 23 cited

Large Block Properties of the Entanglement Entropy of Disordered Fermions

A. Elgart, L. Pastur, M. Shcherbina

We consider a macroscopic disordered system of free $d$ -dimensional lattice fermions whose one-body Hamiltonian is a Schrödinger operator $H$ with ergodic potential. We assume that…