Quasi-periodic spectral and topological analysis — Svetlana Jitomirskaya (Math, UC Irvine)

 

 

On point spectrum of critical almost Mathieu operators S. Jitomirskaya 2019

Critical phenomena, arithmetic phase transitions, and universality: some recent results on the almost Mathieu operator. Lecture notes for CDM 2019. S. Jitomirskaya 2019

Arithmetic spectral transitions: a competition between hyperbolicity and the arithmetics of small denominatorsS. Jitomirskaya, W. Liu, and S. Zhang 2019

Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrumS. Jitomirskaya, I. Krasovsky 2019

On the spectrum of critical Mathieu operators in the rational case S. Jitomirskaya, L. Konstantinov, I. Krasovsky 2020

Upper bounds on transport exponents for long range operators S. Jitomirskaya and W. Liu 2021

 

workshop 2021