Entropy and mixing for amenable group actions.
Rudolph, Daniel J., Weiss, Benjamin (2000)
Annals of Mathematics. Second Series
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Rudolph, Daniel J., Weiss, Benjamin (2000)
Annals of Mathematics. Second Series
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R. Burton, M. Keane, Jacek Serafin (2000)
Colloquium Mathematicae
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We present a unified approach to the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein. We show that in a suitable space of measures those measures which define isomorphisms or respectively homomorphisms form residual subsets.
Karel Winkelbauer (1970)
Kybernetika
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Manfred Denker, Gerhard Keller, Mariusz Urbański (1990)
Studia Mathematica
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Bobok, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Barreira, Luis, Pesin, Yakov, Schmeling, Jörg (1999)
Annals of Mathematics. Second Series
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E, Weinan, Khanin, K., Mazel, A., Sinai, Ya. (2000)
Annals of Mathematics. Second Series
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Jon Aaronson, Kyewon Koh Park (2009)
Fundamenta Mathematicae
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We show that a certain type of quasifinite, conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets. We also construct a conservative, ergodic, measure preserving transformation which is not quasifinite; and consider distribution asymptotics of information showing that e.g. for Boole's transformation, information is asymptotically mod-normal with normalization ∝ √n. Lastly, we show that certain ergodic, probability...
Erdős, Paul, Sarkozy, Gabor N. (1997)
The Electronic Journal of Combinatorics [electronic only]
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Bourgain, J., Goldstein, M. (2000)
Annals of Mathematics. Second Series
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