78 citations · 272 across the 31 of their papers we have counts for
33 papers
Non-local Minami-type estimates for a class of quasi-periodic media
Victor Chulaevsky
This paper is a follow-up of our earlier work [11] where a uniform exponential Anderson localization was proved for a class of deterministic (including quasi-periodic) Hamiltonians…
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…
Density of States under non-local interactions III. N-particle Bernoulli--Anderson model
Victor Chulaevsky
Following [7,8], we analyze regularity properties of single-site probability distributions of the random potential and of the Integrated Density of States (IDS) in the Anderson mod…
Density of States under non-local interactions II. Simplified polynomially screened interactions
Victor Chulaevsky
Following [5], we analyze regularity properties of single-site probability distributions of the random potential and of the Integrated Density of States (IDS) in the Anderson model…
Clock statistics for 1d Schrödinger operators
Victor Chulaevsky, Fumihiko Nakano
We study the 1d Schrödinger operators with alloy type random supercritical decaying potential and prove the clock convergence for the local statistics of eigenvalues. We also consi…
Universality of smoothness of Density of States in arbitrary higher-dimensional disorder under non-local interactions I. From Viéte--Euler identity to Anderson localization
Victor Chulaevsky
It is shown that in a large class of disordered systems with non-degenerate disorder, in presence of non-local interactions, the Integrated Density of States (IDS) is at least Höld…