42 citations · 87 across the 25 of their papers we have counts for
17 papers · 1 filter
Denjoy examples of class with affine dynamics outside the invariant Cantor set
Victor Kleptsyn, Andrés Navas
Given any irrational number, we construct a Denjoy example of class with this rotation number, that is exactly affine on each interval of the complement to the exceptional mi…
Non-stationary version of Ergodic Theorem for random dynamical systems
Anton Gorodetski, Victor Kleptsyn
We prove a version of pointwise Ergodic Theorem for non-stationary random dynamical systems. Also, we discuss two specific examples where the result is applicable: non-stationary i…
Hölder regularity of stationary measures
Anton Gorodetski, Victor Kleptsyn, Grigorii Monakov
We consider smooth random dynamical systems defined by a distribution with a finite moment of the norm of the differential, and prove that under suitable non-degeneracy conditions…
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications
Sébastien Alvarez, Pablo G. Barrientos, Dmitry Filimonov +4
In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of r…
Uniform lower bounds on the dimension of Bernoulli convolutions
Victor Kleptsyn, Mark Pollicott, Polina Vytnova
In this note we present an algorithm to obtain a uniform lower bound on Hausdorff dimension of the stationary measure of an affine iterated function scheme with similarities, the b…
Phase transition of capacity for the uniform -sets
Victor Kleptsyn, Fernando Quintino
We consider a family of dense subsets of , defined as intersections of unions of small uniformly distributed intervals, and study their capacity. Changing the speed at…