Isomorphism of bernoulli shifts sinai and Ornstein's theorems

1971 ◽  
pp. 43-53
Author(s):  
Meir Smorodinsky
Keyword(s):  
Bernoulli Shifts

Cantor Sets, Bernoulli Shifts and Linear Dynamics

2014 ◽  
pp. 195-207 ◽  
Author(s):  
Salud Bartoll ◽  
Félix Martínez-Giménez ◽  
Marina Murillo-Arcila ◽  
Alfredo Peris
Keyword(s):  
Cantor Sets ◽  
Linear Dynamics ◽  
Bernoulli Shifts

scholarly journals Maximal $S$-expansions are Bernoulli shifts

1993 ◽  
Vol 121 (1) ◽  
pp. 117-131 ◽  
Author(s):  
Cornelis Kraaikamp
Keyword(s):  
Bernoulli Shifts

scholarly journals A class of Markov shifts which are Bernoulli shifts

1971 ◽  
Vol 6 (3) ◽  
pp. 323-328 ◽  
Author(s):  
Robert McCabe ◽  
Paul Shields
Keyword(s):  
Bernoulli Shifts ◽  
Markov Shifts

scholarly journals On conjugacies between asymmetric Bernoulli shifts

2016 ◽  
Vol 434 (1) ◽  
pp. 209-221 ◽  
Author(s):  
Yong-Guo Shi ◽  
Yilei Tang
Keyword(s):  
Bernoulli Shifts

Restricted Non-Commutative Bernoulli Shifts

1990 ◽  
Vol 145 (1) ◽  
pp. 233-242
Author(s):  
Uwe Quasthoff
Keyword(s):  
Bernoulli Shifts

The behavior of Bernoulli shifts relative to their factors

1999 ◽  
Vol 19 (5) ◽  
pp. 1255-1280 ◽  
Author(s):  
CHRISTOPHER HOFFMAN
Keyword(s):  
Bernoulli Shift ◽  
Bernoulli Shifts ◽  
Ergodic Transformations ◽  
Zero Entropy ◽  
Almost All

We present numerous examples of ways that a Bernoulli shift can behave relative to a family of factors. This shows the similarities between the properties which collections of ergodic transformations can have and the behavior of a Bernoulli shift relative to a collection of its factors. For example, we construct a family of factors of a Bernoulli shift which have the same entropy, and any extension of one of these factors has more entropy, yet no two of these factors sit the same. This is the relative analog of Ornstein and Shields uncountable collection of nonisomorphic $K$ transformations of the same entropy. We are able to construct relative analogs of almost all the zero entropy counter-examples constructed by Rudolph (1979), as well as the $K$ counterexamples constructed by Hoffman (1997). This paper provides a solution to a problem posed by Ornstein (1975).

Continuity of Lyapunov exponents for random two-dimensional matrices

2016 ◽  
Vol 37 (5) ◽  
pp. 1413-1442 ◽  
Author(s):  
CARLOS BOCKER-NETO ◽  
MARCELO VIANA
Keyword(s):  
Probability Measure ◽  
Lyapunov Exponents ◽  
Invariant Probability Measure ◽  
Two Dimensional ◽  
Bernoulli Shifts

The Lyapunov exponents of locally constant$\text{GL}(2,\mathbb{C})$-cocycles over Bernoulli shifts vary continuously with the cocycle and the invariant probability measure.

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