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pro vyhledávání: '"Chulaevsky, Victor"'
Autor:
Chulaevsky, Victor
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 with the help of a variant of the KAM (Kolmogorov--Arnold--Moser) app
Externí odkaz:
http://arxiv.org/abs/2211.14535
Autor:
Chulaevsky, Victor, Sodin, Sasha
Publikováno v:
Pure Appl. Funct. Anal. 5 (2020), no. 6, 1279--1296
An ensemble of quasi-periodic discrete Schr\"{o}dinger operators with an arbitrary number of basic frequencies is considered, in a lattice of arbitrary dimension, in which the hull function is a realisation of a stationary Gaussian process on the tor
Externí odkaz:
http://arxiv.org/abs/1906.05752
Autor:
Chulaevsky, Victor
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 models with infinite-range interactions and arbitrary nontrivial probabil
Externí odkaz:
http://arxiv.org/abs/1711.03326
Autor:
Chulaevsky, Victor
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 models with infinite-range interactions. In the present work, we study in d
Externí odkaz:
http://arxiv.org/abs/1606.05618
Autor:
Chulaevsky, Victor, Nakano, Fumihiko
We study the 1d Schr\"odinger operators with alloy type random supercritical decaying potential and prove the clock convergence for the local statistics of eigenvalues. We also consider, besides the standard i.i.d. case, more general ones with expone
Externí odkaz:
http://arxiv.org/abs/1605.08825
Autor:
Chulaevsky, Victor
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 H\"older continuous in one dimension and universally infinitely differenti
Externí odkaz:
http://arxiv.org/abs/1604.08534
Autor:
Chulaevsky, Victor
We propose a reformulation of the bootstrap version of the Multi-Scale Analysis (BMSA), developed by Germinet and Klein, to make explicit the fact that BMSA implies asymptotically exponential decay of eigenfunctions (EFs) and of EF correlators (EFCs)
Externí odkaz:
http://arxiv.org/abs/1503.02529
Autor:
Chulaevsky, Victor
Publikováno v:
Journal of Spectral Theory; 2024, Vol. 14 Issue 3, p891-931, 41p
Autor:
Chulaevsky, Victor
We discuss the techniques and results of the multi-particle Anderson localization theory for disordered quantum systems with nontrivial interaction. After a detailed presentation of the approach developed earlier by Aizenman and Warzel, we extend the
Externí odkaz:
http://arxiv.org/abs/1410.1079
Autor:
Chulaevsky, Victor
This short note is a complement to our recent paper [2] where we established strong dynamical localization for a class of multi-particle Anderson models in a Euclidean space with an alloy-type random potential and a sub-exponentially decaying interac
Externí odkaz:
http://arxiv.org/abs/1408.4646