Éléments ergodiques et totalement ergodiques dans
Ergodic behavior of graph entropy.
Ergodic properties of square-free numbers
We construct a natural invariant measure concentrated on the set of square-free numbers, and invariant under the shift. We prove that the corresponding dynamical system is isomorphic to a translation on a compact, Abelian group. This implies that this system is not weakly mixing and has zero measure-theoretical entropy.
Ergodic theorems for linear operators on with strict topology
Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces
Under different compactness assumptions pointwise and mean ergodic theorems for subadditive superstationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize those of [14], where random sets in are considered. Techniques used here are inspired by [3].
Ergodic theory, entropy, and coding problems of information theory