a2 Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu, PR China
a3 Department of Applied Mathematics, Chinese Culture University, Yangmingshan, Taipei 11114, Taiwan (email: email@example.com)
Burguet [A direct proof of the tail variational principle and its extension to maps. Ergod. Th. & Dynam. Sys. 29 (2009), 357–369] presented a direct proof of the variational principle of tail entropy and extended Downarowicz’s results to a non-invertible case. This paper defines and discusses tail pressure, which is an extension of tail entropy for continuous transformations. This study reveals analogs of many known results of topological pressure. Specifically, a variational principle is provided and some applications of tail pressure, such as the investigation of invariant measures and equilibrium states, are also obtained.
(Received January 10 2011)
(Revised March 08 2011)
(Online publication June 14 2011)