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

Published online by Cambridge University Press:  01 April 2009

DAVID BURGUET
DAVID BURGUET*
Affiliation:
CMLS - CNRS UMR 7640, École polytechnique, 91128 Palaiseau Cedex, France (email: burguet@math.polytechnique.fr)
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Abstract

Downarowicz [Entropy structure. J. Anal.96 (2005), 57–116] 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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Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 2 , April 2009 , pp. 357 - 369
Copyright
Copyright © Cambridge University Press 2008

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