Lowering topological entropy

Elon Lindenstrauss

doi:10.1007/BF02787792

Lowering topological entropy

Elon Lindenstrauss^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

The main result we prove in this paper is that for any finite dimensional dynamical system (with topological entropy h), and for any factor with strictly lower entropy h′, there exists an intermediate factor of entropy h″ for every h″∈[h′, h]. Two examples, one of them minimal, show that this is not the case for infinite dimensional systems.

Original language	English
Pages (from-to)	231-267
Number of pages	37
Journal	Journal d'Analyse Mathematique
Volume	67
Issue number	1
DOIs	https://doi.org/10.1007/BF02787792
State	Published - Dec 1995

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Lowering topological entropy

Abstract

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