126 citations · 375 across the 42 of their papers we have counts for
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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…
Anderson localisation for quasi-one-dimensional random operators
Davide Macera, Sasha Sodin
In 1990, Klein, Lacroix, and Speis proved (spectral) Anderson localisation for the Anderson model on the strip of width , allowing for singular distribution of the p…
Lower bounds on Anderson-localised eigenfunctions on a strip
Ilya Goldsheid, Sasha Sodin
It is known that the eigenfunctions of a random Schrödinger operator on a strip decay exponentially, and that the rate of decay is not slower than prescribed by the slowest Lyapuno…
The umpteen operator and its Lifshitz tails
Ohad N. Feldheim, Sasha Sodin
As put forth by Kerov in the early 1990s and elucidated in subsequent works, numerous properties of Wigner random matrices are shared by certain linear maps playing an important rô…
Anderson localisation in stationary ensembles of quasiperiodic operators
Victor Chulaevsky, Sasha Sodin
An ensemble of quasi-periodic discrete Schrödinger operators with an arbitrary number of basic frequencies is considered, in a lattice of arbitrary dimension, in which the hull fun…
Real eigenvalues in the non-Hermitian Anderson model
Ilya Goldsheid, Sasha Sodin
The eigenvalues of the Hatano--Nelson non-Hermitian Anderson matrices, in the spectral regions in which the Lyapunov exponent exceeds the non-Hermiticity parameter, are shown to be…