Local Unstable Entropy and Local Unstable Pressure for Partially Hyperbolic Endomorphisms

Local Unstable Entropy and Local Unstable Pressure for Partially Hyperbolic Endomorphisms

In this paper, local unstable metric entropy, local unstable topological entropy and local unstable pressure for partially hyperbolic endomorphisms are introduced and investigated. Specially, two variational principles concerning relationships among the above mentioned numbers are formulated.

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2022, Vol.43 (1), p.137-160
1. Verfasser: Wang, Xinsheng
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Entropy
Mathematics
Mathematics and Statistics
Variational principles
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Zusammenfassung:In this paper, local unstable metric entropy, local unstable topological entropy and local unstable pressure for partially hyperbolic endomorphisms are introduced and investigated. Specially, two variational principles concerning relationships among the above mentioned numbers are formulated.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-022-0327-4