34 citations · 107 across the 13 of their papers we have counts for
10 papers · 1 filter
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…
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…
On the continuity of the integrated density of states in the disorder
Mira Shamis
Recently, Hislop and Marx studied the dependence of the integrated density of states on the underlying probability distribution for a class of discrete random Schrödinger operators…
On the Wegner orbital model
Jeffrey Schenker, Ron Peled, Mira Shamis +1
The Wegner orbital model is a class of random operators introduced by Wegner to model the motion of a quantum particle with many internal degrees of freedom (orbitals) in a disorde…
Zero Hausdorff dimension spectrum for the almost Mathieu operator
Yoram Last, Mira Shamis
We study the almost Mathieu operator at critical coupling. We prove that there exists a dense set of frequencies for which the spectrum is of zero Hausdorff dimension.
Bounds on the Lyapunov exponent via crude estimates on the density of states
Mira Shamis, Thomas Spencer
We study the Chirikov (standard) map at large coupling , and prove that the Lyapounov exponent of the associated Schroedinger operator is of order except for a set…