A direct proof of the tail variational principle and its extension to maps

David Burguet

doi:10.1017/S0143385708080425

A direct proof of the tail variational principle and its extension to maps

David Burguet

École Polytechnique

Research output: Contribution to journal › Article › peer-review

Abstract

Downarowicz [Entropy structure. J. Anal. 96 (2005), 57116] stated a variational principle for the tail entropy for invertible continuous dynamical systems of a compact metric space. We give here an elementary proof of this variational principle. Furthermore, we extend the result to the non-invertible case.

Original language	English
Pages (from-to)	357-369
Number of pages	13
Journal	Ergodic Theory and Dynamical Systems
Volume	29
Issue number	2
DOIs	https://doi.org/10.1017/S0143385708080425
Publication status	Published - 1 Jan 2009

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AB - Downarowicz [Entropy structure. J. Anal. 96 (2005), 57116] stated a variational principle for the tail entropy for invertible continuous dynamical systems of a compact metric space. We give here an elementary proof of this variational principle. Furthermore, we extend the result to the non-invertible case.

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A direct proof of the tail variational principle and its extension to maps

Abstract

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