Current Developments in Mathematics

Volume 2019

Critical phenomena, arithmetic phase transitions, and universality: some recent results on the almost Mathieu operator

Pages: 1 – 42



S. Jitomirskaya (Department of Mathematics, University of California, Irvine, Calif., U.S.A.)


This is an expanded version of the notes of lectures given at the conference “Current Developments in Mathematics 2019” held at Harvard University on November 22–23, 2019. We present an overview of some recent developments.

This work was supported by NSF DMS-1901462.

Published 13 October 2021