117 citations · 544 across the 23 of their papers we have counts for
25 papers
The least singular value of the general deformed Ginibre ensemble
Mariya Shcherbina, Tatyana Shcherbina
We study the least singular value of the matrix with , where is drawn from the complex Ginibre ensemble of matrices with iid Gaussian entries, an…
Finite-rank complex deformations of random band matrices: sigma-model approximation
Mariya Shcherbina, Tatyana Shcherbina
We study the distribution of complex eigenvalues of random Hermitian block band matrices with a complex deformation of a finite rank. Assuming that th…
Universality for 1 d random band matrices
Mariya Shcherbina, Tatyana Shcherbina
We consider 1d random Hermitian block band matrices consisting of random Gaussian blocks (parametrized by , ) with a fi…
Transfer operator approach to 1d random band matrices
Mariya Shcherbina, Tatyana Shcherbina
We discuss an application of the transfer operator approach to the analysis of the different spectral characteristics of 1d random band matrices (correlation functions of character…
Szegö-type Theorems for One-Dimensional Schrodinger Operator with Random Potential (smooth case)
L. Pastur, M. Shcherbina
The paper is a continuation of work [15] in which the general setting for analogs of the Szegö theorem for ergodic operators was given and several interesting cases were considered…
Universality for 1d random band matrices: sigma-model approximation
Mariya Shcherbina, Tatyana Shcherbina
The paper continues the development of the rigorous supersymmetric transfer matrix approach to the random band matrices started in J Stat Phys 164:1233 -- 1260, 2016; Commun Math P…