Path connectedness and entropy density of the space of hyperbolic ergodic measures

Anton Gorodetski, Yakov Pesin

Research output: Chapter in Book/Report/Conference proceedingChapter

11 Scopus citations

Abstract

We show that the space of hyperbolic ergodic measures of a given index supported on an isolated homoclinic class is path connected and entropy dense provided that any two hyperbolic periodic points in this class are ho-moclinically related. As a corollary we obtain that the closure of this space is also path connected.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages111-121
Number of pages11
DOIs
StatePublished - 2017

Publication series

NameContemporary Mathematics
Volume692
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

All Science Journal Classification (ASJC) codes

  • General Mathematics

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