4 papers
Attractors with non-invariant interior
Stanislav Minkov, Alexey Okunev, Ivan Shilin
We construct an open set of endomorphisms of an arbitrary two-dimensional manifold which have attractors and non-wandering sets with non-invariant interior. This is a notable contr…
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…
Attractors of direct products
Stanislav Minkov, Ivan Shilin
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows on for which the attractor of the Cartesian square of is smaller than the Carte…
Anosov diffeomorphism with a horseshoe that attracts almost any point
C. Bonatti, S. Minkov, A. Okunev +1
We present an example of a C1 Anosov diffeomorphism of a two-torus with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero meas…