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math-ph2021
Upper bounds on quantum dynamics in arbitrary dimension
Mira Shamis, Sasha Sodin
Motivated by the research on upper bounds on the rate of quantum transport for one-dimensional operators, particularly, the recent works of Jitomirskaya--Liu and Jitomirskaya--Powe…
math-ph2021★ 5 cited
On the abominable properties of the almost Mathieu operator with well approximated frequencies
Artur Avila, Yoram Last, Mira Shamis +1
We show that some spectral properties of the almost Mathieu operator with frequency well approximated by rationals can be as poor as at all possible in the class of all one-dimensi…