**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 denominators, *S. Jitomirskaya, W. Liu, and S. Zhang* 2019

**Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum, S. 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