42 citations · 87 across the 25 of their papers we have counts for
29 papers
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…
The dimension of harmonic currents on foliated complex surfaces
Bertrand Deroin, Christophe Dupont, Victor Kleptsyn
Let be a singular holomorphic foliation on an algebraic complex surface , with hyperbolic singularities and no foliated cycle. We prove a formula for the transvers…
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…
Convexity of complements of limit sets for holomorphic foliations on surfaces
Bertrand Deroin, Christophe Dupont, Victor Kleptsyn
Let be a holomorphic foliation on a compact Káhler surface with hyperbolic singularities and no foliation cycle. We prove that if the limit set of has zer…
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…