Minimal self-joinings and positive topological entropy II

François Blanchard; Jan Kwiatkowski

Displaying similar documents to “Minimal self-joinings and positive topological entropy II”

The sequence entropy for Morse shifts and some counterexamples

Mariusz Lemańczyk (1985)

Studia Mathematica

Similarity:

A disjointness theorem involving topological entropy

François Blanchard (1993)

Bulletin de la Société Mathématique de France

Similarity:

Sequence entropy pairs and complexity pairs for a measure

Wen Huang, Alejandro Maass, Xiangdong Ye (2004)

Annales de l’institut Fourier

Similarity:

In this paper we explore topological factors in between the Kronecker factor and the maximal equicontinuous factor of a system. For this purpose we introduce the concept of sequence entropy $n$ -tuple for a measure and we show that the set of sequence entropy tuples for a measure is contained in the set of topological sequence entropy tuples [H- Y]. The reciprocal is not true. In addition, following topological ideas in [BHM], we introduce a weak notion and a strong notion of complexity...

Strictly ergodic, uniform positive entropy models

Eli Glasner, Benjamin Weiss (1994)

Bulletin de la Société Mathématique de France

Similarity:

Strictly ergodic patterns and entropy for interval maps.

Bobok, J. (2003)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows

T. Downarowicz, Y. Lacroix (1998)

Studia Mathematica

Similarity:

Let $(Z, T_{Z})$ be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of $(Z, T_{Z})$ is Borel isomorphic to an almost 1-1 extension of $(Z, T_{Z})$ . Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly...

Estimates of topological entropy of continuous maps with applications.

Yang, Xiao-Song, Bai, Xiaoming (2006)

Discrete Dynamics in Nature and Society

Similarity:

A remark on positive topological entropy of $N$ -buffer switched flow networks.

Yang, Xiao-Song (2005)

Discrete Dynamics in Nature and Society

Similarity: