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

David Burguet (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

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.

Domaines: Systèmes dynamiques [math.DS]

David Burguet. A direct proof of the tail variational principle and its extension to maps.. Ergodic Theory and Dynamical Systems, 2009, 29 (2), pp.357-369. ⟨10.1017/S0143385708080425⟩. ⟨hal-00827717⟩