Sets of Invariant Measures and Cesaro StabilityKryzhevich, Sergey (Avtor)
ergodic theoryinvariant measuresshadowingstabilitytolerance stabilitytopological dynamicsWe take a space X of dynamical systems that could be: homeomorphisms or continuous maps of a compact metric space K or diffeomorphisms of a smooth manifold or actions of an amenable group. We demonstrate that a typical dynamical system of X is a continuity point for the set of probability invariant measures considered as a function of a map, let Y be the set of all such continuity points. As a corollary we prove that for typical dynamical systems average values of continuous functions calculated along trajectories do not drastically change if the system is perturbed.20172017-09-30 11:45:03Delo ni kategorizirano3289COBISS_ID: 4924923NUK URN: URN:SI:UNG:REP:CGPCG6IRsl