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Macroscopic behavior of a randomly fibered medium
By combining variational convergence with ergodic theory of subadditive processes, we study the macroscopic behavior of a randomly fibered medium. The cross sections... -
Absolute continuity of Markov chains ergodic measures by Dirichlet forms methods
We study the absolute continuity of ergodic measures of Markov chains $X_{n+1}=F(X_n,Y_{n+1})$ for the discrete case, and $dX_t=b(X_t)dt+\sigma(X_t).dW_t$ for the... -
Well-Approximable Points for Julia Sets with Parabolic and Critical Points
In this paper we consider rational functions $f\colon \oc \to \oc$ with parabolic and critical points contained in their Julia sets $J(f)$ such that $$... -
Eigenvalues of cellular automata
We investigate properties of one-dimensional cellular automata. This category of cellular automata has been widely studied but many questions are still open. Among... -
Two Dimensional Deterministic Model of a Thin Body with Micro High Stiffness ...
By using ergodic theory and a variational process, we study the macroscopic behavior of a thin body with micro hight stiffness fibers randomly distributed according to... -
A Bilateral version of Shannon-Breiman-McMillan Theorem
We give a new version of the Shannon-McMillan-Breiman theorem in thecase of a bijective action.We illustrate this new result with an example -
Cellular automata and Lyapunov exponents
In this article we give a new definition of some analog of Lyapunov exponents for cellular automata .Then for a shift ergodic and cellular automaton invariant... -
Prime Poisson suspensions
12 pages -
Salem-Schaeffer measures of dynamical system origin
A class of measure preserving actions of the groups $Z^d$ and $R^d$ is constructed possessing the following properties: the spectrum of the action is simple and for a... -
On probability measure preserving full groups
Let (X,μ) be a standard probability space and Γ a countable group acting on X in a measure preserving way. The partition of the space X into Γ-orbits is entirely...
