@inproceedings{2449eedd467e4291b8543df9183bd7b8,
title = "Transfer operator approach to 1D random band matrices",
abstract = "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 characteristic polynomials, density of states, spectral correlation functions). We show that when the bandwidth W crosses the threshold W = N 1/2, the model has a kind of phase transition (crossover), whose nature can be explained by the spectral properties of the transfer operator.",
author = "Mariya Shcherbina and Tatjana Shcherbina",
note = "Publisher Copyright: {\textcopyright} Proceedings of the International Congress of Mathematicians, ICM 2018. All rights reserved.; 2018 International Congress of Mathematicians, ICM 2018 ; Conference date: 01-08-2018 Through 09-08-2018",
year = "2018",
language = "English (US)",
series = "Proceedings of the International Congress of Mathematicians, ICM 2018",
publisher = "World Scientific Publishing Co. Pte Ltd",
pages = "2705--2727",
editor = "Boyan Sirakov and {de Souza}, {Paulo Ney} and Marcelo Viana",
booktitle = "Invited Lectures",
address = "Singapore",
}