3 papers
math.DS2022
Attractors with Non-Invariant Interior and Pinheiro's Theorem A
Stanislav Minkov, Alexey Okunev, Ivan Shilin
This is a provisional version of an article, intended to be devoted to properties of attractor's intertior for smooth maps (not diffeomorphisms). We were originally motivated for t…
math.DS2018
Classification of generic semigroup actions of circle diffeomorphisms
Victor Kleptsyn, Yury Kudryashov, Alexey Okunev
We study topological properties of semi-group actions on the circle by orientation-preserving homeomorhisms. We prove that a generic action either possesses a forward-invariant int…
math.DS2017
On the attractors of step skew products over the Bernoulli shift
Alexey Okunev, Ivan Shilin
The statistical and Milnor attractors of step skew products over the Bernoulli shift are studied. For the case of the fiber a circle we prove that for a topologically generic step…