Lowering topological entropy

Elon Lindenstrauss*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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 languageAmerican English
Pages (from-to)231-267
Number of pages37
JournalJournal d'Analyse Mathematique
Issue number1
StatePublished - Dec 1995


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