Lyapunov exponents, KS-entropy and correlation decay in skew product extensions of Bernoulli endomorphisms
Siboni, S.
Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998), p. 631-638 / Harvested from Biblioteca Digitale Italiana di Matematica
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Viene considerata una classe di sistemi dinamici del toro bidimensionale T2 . Tali sistemi presentano la forma di un prodotto skew fra l'endomorfismo Bernoulli Bp⁢x=mod⁡p⁢x, 1, p∈Z∖-1,0,1, definito sul toro undidimensionale T1≡0,1 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.

Publié le : 1998-10-01
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     title = {Lyapunov exponents, KS-entropy and correlation decay in skew product extensions of Bernoulli endomorphisms},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1-A},
     year = {1998},
     pages = {631-638},
     zbl = {0913.58035},
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     language = {en},
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Siboni, S. Lyapunov exponents, KS-entropy and correlation decay in skew product extensions of Bernoulli endomorphisms. Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998) pp. 631-638. http://gdmltest.u-ga.fr/item/BUMI_1998_8_1B_3_631_0/

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