Factors of coalescent automorphisms
Factors of ergodic group extensions of rotations
Diagonal metric subgroups of the metric centralizer of group extensions are investigated. Any diagonal compact subgroup Z of is determined by a compact subgroup Y of a given metric compact abelian group X, by a family , of group automorphisms and by a measurable function f:X → G (G a metric compact abelian group). The group Z consists of the triples , y ∈ Y, where , x ∈ X.
Faithful zero-dimensional principal extensions
We prove that every topological dynamical system (X,T) has a faithful zero-dimensional principal extension, i.e. a zero-dimensional extension (Y,S) such that for every S-invariant measure ν on Y the conditional entropy h(ν | X) is zero, and, in addition, every invariant measure on X has exactly one preimage on Y. This is a strengthening of the authors' result in Acta Appl. Math. [to appear] (where the extension was principal, but not necessarily faithful).
Fibrés dynamiques. Entropie et dimension
Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents
We construct a map on the space of interval exchange transformations, which generalizes the classical map on the interval, related to continued fraction expansion. This map is based on Rauzy induction, but unlike its relative kown up to now, the map is ergodic with respect to some finite absolutely continuous measure on the space of interval exchange transformations. We present the prescription for calculation of this measure based on technique developed by W. Veech for Rauzy induction.We study...
Finite generators of ergodic endomorphisms
Finite Procedures for Sofic Systems.
Finite rank transformation and weak closure theorem
Finite return times for measure-preserving transformations.
Fixed points of measure preserving torus homeomorphisms.
Fixed points of semigroups of positive operators in KB-spaces
Flux moyen d'un courant électrique dans un réseau aléatoire stationnaire de résistances
Functorial properties of the lattice of functional semi-norms.