Unstable entropy in smooth ergodic theory

Unstable entropy in smooth ergodic theory

In this survey we recall basic notions of disintegration of measures and entropy along unstable laminations. We review some roles of unstable entropy in smooth ergodic theory including the so-called invariance principle, Margulis construction of measures of maximal entropy, physical measures and rig...

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Veröffentlicht in:Nonlinearity 2021-08, Vol.34 (8), p.R75-R118
1. Verfasser: Tahzibi, Ali
Format: Artikel
Sprache:eng
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Zusammenfassung:In this survey we recall basic notions of disintegration of measures and entropy along unstable laminations. We review some roles of unstable entropy in smooth ergodic theory including the so-called invariance principle, Margulis construction of measures of maximal entropy, physical measures and rigidity. We also give some new examples and pose some open problems.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/abd7c7