10 citations · 11 across the 4 of their papers we have counts for
6 papers
Attractors of Piecewise Translation Maps
Denis Volk
Piecewise Translations is a class of dynamical systems which arises from some applications in computer science, machine learning, and electrical engineering. In dimension 1 it can…
Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems
Jacopo de Simoi, Carlangelo Liverani, Christophe Poquet +1
We consider a simple class of fast-slow partially hyperbolic dynamical systems and show that the (properly rescaled) behaviour of the slow variable is very close to a Friedlin--Wen…
Translation numbers define generators of
Tatiana Golenishcheva-Kutuzova, Anton Gorodetski, Victor Kleptsyn +1
We consider a minimal action of a finitely generated semigroup by homeomorphisms of a circle, and show that the collection of translation numbers of individual elements completely…
Almost every Interval Translation Map of three intervals is finite type
Denis Volk
Interval translation maps (ITMs) are a non-invertible generalization of interval exchange transformations (IETs). The dynamics of finite type ITMs is similar to IETs, while infinit…
Physical measures for nonlinear random walks on interval
Victor Kleptsyn, Denis Volk
A one-dimensional confined Nonlinear Random Walk is a tuple of diffeomorphisms of the unit interval driven by a probabilistic Markov chain. For generic such walks, we obtain a…
Cascades of e-invisibility
Yulij Ilyashenko, Denis Volk
We consider statistical attractors of locally typical dynamical systems and their "e-invisible" subsets: parts of the attractors whose neighborhoods are visited by orbits with an a…