63 citations · 295 across the 47 of their papers we have counts for
4 papers · 1 filter
Properties of invariant measures in dynamical systems with the shadowing property
Jian Li, Piotr Oprocha
For dynamical systems with the shadowing property, we provide a method of approximation of invariant measures by ergodic measures supported on odometers and their almost 1-1 extens…
New exotic minimal sets from pseudo-suspensions of Cantor systems
J. P. Boroński, Alex Clark, P. Oprocha
We develop a technique, pseudo-suspension, that applies to invariant sets of homeomorphisms of a class of annulus homeomorphisms we describe, Handel-Anosov-Katok (HAK) homeomorphis…
Mixing completely scrambled system exists
Jan P. Boroński, Jiří Kupka, Piotr Oprocha
We prove that there exists a topologically mixing homeomorphism which is completely scrambled. We also prove that for any integer there is a continuum of topological dime…
Generic Points for Dynamical Systems with Average Shadowing
Dominik Kwietniak, Martha Łącka, Piotr Oprocha
It is proved that to every invariant measure of a compact dynamical system one can associate a certain asymptotic pseudo orbit such that any point asymptotically tracing in average…