10 citations · 11 across the 3 of their papers we have counts for
3 papers
math.DS2010★ 1 cited
Holder properties of perturbed skew products and Fubini regained
Yulij Ilyashenko, Andrei Negut
In 2006, A. Gorodetski proved that central fibers of perturbed skew products are Holder continuous with respect to the base point. In the present paper we give an explicit estimat…
math.DS2009
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…
math.DS2009★ 10 cited
Invisible Parts of Attractors
Yulij Ilyashenko, Andrei Negut
This paper deals with the attractors of generic dynamical systems. We introduce the notion of epsilon-invisible set, which is an open set in which almost all orbits spend on averag…