1 citations · 1 across the 9 of their papers we have counts for
10 papers
Atomic physical measures for non-invertible random dynamical systems
Vincent P. H. Goverse, Victor Kleptsyn
We construct an example of a random dynamical system on the circle, formed by maps that are only locally invertible, which possesses an atomic stationary measure . Moreover, thi…
Generalized Aubry-André formula and continuity of the intersection spectrum of the Almost Mathieu operator
Anton Gorodetski, Victor Kleptsyn
We consider the spectrum of the Almost Mathieu operator (AMO) and show that the moments of the restriction of the Lebesgue measure to the intersection spectrum $\text{Leb}|_{Σ_{α,λ…
Critical regularity of nilpotent groups acting on one-dimensional compact manifolds
Maximiliano Escayola, Victor Kleptsyn
Given a finitely generated, torsion-free nilpotent group, we find the maximum possible (critical) regularity for its faithful actions by diffeomorphisms of the closed or half-open…
The fibered rotation number
Pedro Duarte, Anton Gorodetski, Victor Kleptsyn
We provide an explicit formula for an increment of the fibered rotation number of a one-parameter family of circle cocycles over any ergodic transformation in terms of invariant me…
On the Regularity of the Dimension of Cookie-Cutter-Like Sets
Victor Kleptsyn, Alexandro Luna
We study the Hausdorff and box-counting dimensions of cookie-cutter-like sets formed by sequential dynamics of a finite number of expanding maps. Under some natural conditions, the…
Localization for Random Schrödinger Operators Defined by Block Factors
David Damanik, Anton Gorodetski, Victor Kleptsyn
We consider discrete one-dimensional Schrödinger operators with random potentials obtained via a block code applied to an i.i.d. sequence of random variables. It is shown that, alm…
Central Limit Theorem for non-stationary random products of $\SL(2, \R)$ matrices
Anton Gorodetski, Victor Kleptsyn, Grigorii Monakov
We prove Central Limit Theorem for non-stationary random products of matrices, generalizing the classical results by Le Page and Tutubalin that were obtained in…
Log Hölder continuity of the rotation number
Anton Gorodetski, Victor Kleptsyn
We consider one-parameter families of smooth circle cocycles over an ergodic transformation in the base, and show that their rotation numbers must be log-Hölder regular with respec…
Non-stationary Anderson Localization
Anton Gorodetski, Victor Kleptsyn
We consider discrete Schrödinger operators on with bounded random but not necessarily identically distributed values of the potential. We prove spectral locali…
Non-stationary version of Furstenberg Theorem on random matrix products
Anton Gorodetski, Victor Kleptsyn
We prove a non-stationary analog of the Furstenberg Theorem on random matrix products (that can be considered as a matrix version of the law of large numbers). Namely, under a suit…