Invariant measures for semigroups
Invariant Measures of C...-Diffeomorphisms of Markov Type in R...
Invariant Measures of Horospherical Flows on Noncompact Homogeneous Spaces.
Invariant measures on the shift space
Invariant scrambled sets and maximal distributional chaos
For the full shift (Σ₂,σ) on two symbols, we construct an invariant distributionally ϵ-scrambled set for all 0 < ϵ < diam Σ₂ in which each point is transitive, but not weakly almost periodic.
Invariant sub-σ-algebras for substitutions of constant length
Invariants for finitary isomorphisms with finite expected code lengths.
Inverse limit of M -cocycles and applications
For any m, 2 ≤ m < ∞, we construct an ergodic dynamical system having spectral multiplicity m and infinite rank. Given r > 1, 0 < b < 1 such that rb > 1 we construct a dynamical system (X, B, μ, T) with simple spectrum such that r(T) = r, F*(T) = b, and
Isometries of Measure Algebras.
Isometries on Irreducible Triangular Operator Algebras.
Isométries positives et propriétés ergodiques de quelques espaces de Banach
Isomorphic random Bernoulli shifts
We develop a relative isomorphism theory for random Bernoulli shifts by showing that any random Bernoulli shifts are relatively isomorphic if and only if they have the same fibre entropy. This allows the identification of random Bernoulli shifts with standard Bernoulli shifts.
Isomorphism of measure preserving transformations
Isomorphism of regular Morse dynamical systems
Isomorphismen, topologische Maßräume.
Iterates of Volterra operators and indeterminate forms.
Iteration of endomorphisms on the real axis and representation of numbers
La convergence presque sûre des moyennes ergodiques suivant certaines sous-suites d'entiers
La démonstration de Furstenberg du théorème de Szemerédi sur les progressions arithmétiques
Large deviations for generic stationary processes
Let (Ω,A,μ,T) be a measure preserving dynamical system. The speed of convergence in probability in the ergodic theorem for a generic function on Ω is arbitrarily slow.