Large deviation asymptotics for Anosov flows
Le «closing lemma» en topologie
L'entropie minimale des espaces symétriques
Lifting Measures to Markov Extensions.
Locally equicontinuous dynamical systems
A new class of dynamical systems is defined, the class of “locally equicontinuous systems” (LE). We show that the property LE is inherited by factors as well as subsystems, and is closed under the operations of pointed products and inverse limits. In other words, the locally equicontinuous functions in form a uniformly closed translation invariant subalgebra. We show that WAP ⊂ LE ⊂ AE, where WAP is the class of weakly almost periodic systems and AE the class of almost equicontinuous systems....
Logarithmic convexity of push-forward measures.
Logarithmic measures, subdimension and Lyapunov exponents of Cantori
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Lyapunov exponents, KS-entropy and correlation decay in skew product extensions of Bernoulli endomorphisms
Viene considerata una classe di sistemi dinamici del toro bidimensionale . Tali sistemi presentano la forma di un prodotto skew fra l'endomorfismo Bernoulli , , definito sul toro undidimensionale ed una traslazione del toro stesso. Si dimostra che gli esponenti di Liapunov e l'entropia di Kolmogorov-Sinai della misura di Haar invariante possono essere calcolati esplicitamente. Viene infine discusso il decadimento delle correlazioni per i caratteri.