Intrinsic ergodicity via obstruction entropies

Intrinsic ergodicity via obstruction entropies

Bowen showed that a continuous expansive map with specification has a unique measure of maximal entropy. We show that the conclusion remains true under weaker non-uniform versions of these hypotheses. To this end, we introduce the notions of obstructions to expansivity and specification, and show th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ergodic theory and dynamical systems 2014-12, Vol.34 (6), p.1816-1831
Hauptverfasser: CLIMENHAGA, VAUGHN, THOMPSON, DANIEL J.
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical systems
Entropy
Ergodic processes
Expansion
Hypotheses
Obstructions
Specifications
Topological manifolds
Topology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Bowen showed that a continuous expansive map with specification has a unique measure of maximal entropy. We show that the conclusion remains true under weaker non-uniform versions of these hypotheses. To this end, we introduce the notions of obstructions to expansivity and specification, and show that if the entropy of such obstructions is smaller than the topological entropy of the map, then there is a unique measure of maximal entropy.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2013.16