Dynamics and spectral theory of quasi-periodic Schrödinger-type operators

CA Marx, S Jitomirskaya - Ergodic Theory and Dynamical Systems, 2017‏ - cambridge.org
SURVEY Dynamics and spectral theory of quasi-periodic Schrodinger-type operators Page 1
Ergod. Th. & Dynam. Sys. (2017), 37, 2353–2393 doi:10.1017/etds.2016.16 c Cambridge …

Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators.

S Jitomirskaya, S Zhang - Journal of the European Mathematical Society …, 2022‏ - ems.press
We introduce a notion of ˇ-almost periodicity and prove quantitative lower spectral/quantum
dynamical bounds for general bounded ˇ-almost periodic potentials. Applications include the …

Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schr\" odinger operators

S Jitomirskaya, S Zhang - arxiv preprint arxiv:1510.07086, 2015‏ - arxiv.org
We introduce a notion of $\beta $-almost periodicity and prove quantitative lower
spectral/quantum dynamical bounds for general bounded $\beta $-almost periodic …

Almost sure frequency independence of the dimension of the spectrum of Sturmian Hamiltonians

D Damanik, A Gorodetski - Communications in Mathematical Physics, 2015‏ - Springer
Almost Sure Frequency Independence of the Dimension of the Spectrum of Sturmian
Hamiltonians Page 1 Digital Object Identifier (DOI) 10.1007/s00220-015-2331-y Commun. Math …

[ספר][B] Topics on Schrödinger Operators

CSS Tsang - 2016‏ - search.proquest.com
UNIVERSITY OF CALIFORNIA, IRVINE Topics on Schrödinger Operators DISSERTATION
submitted in partial satisfaction of the requirem Page 1 UNIVERSITY OF CALIFORNIA, IRVINE …

[CITATION][C] Almost Sure Frequency Independence of the Dimension of the Spectrum of Sturmian