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.
Lasota-Yorke maps with holes : conditionally invariant probability measures and invariant probability measures on the survivor set
Le théorème d'isomorphisme d'Ornstein et la classification des systèmes dynamiques en théorie ergodique
Le théorème ergodique de Chacón-Ornstein
Le théorème ergodique le long d’une suite -multiplicative
L'ergodicité induit un type spectral maximal équivalent à la mesure de Lebesgue
Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité
Lifting Measures to Markov Extensions.
Limiting curlicue measures for theta sums
We consider the ensemble of curves {γα, N: α∈(0, 1], N∈ℕ} obtained by linearly interpolating the values of the normalized theta sum N−1/2∑n=0N'−1exp(πin2α), 0≤N'<N. We prove the existence of limiting finite-dimensional distributions for such curves as N→∞, when α is distributed according to any probability measure λ, absolutely continuous w.r.t. the Lebesgue measure on [0, 1]. Our Main Theorem generalizes a result by Marklof [Duke Math. J.97 (1999) 127–153] and Jurkat and van Horne [Duke...
Linear operators as measure preserving transformations