Luis Barreira and Paulo Doutor 2009 Nonlinearity 22 2761 doi:10.1088/0951-7715/22/11/009
Luis Barreira1 and Paulo Doutor2
Show affiliationsRecommended by L-S Young
We establish a conditional variational principle for the dimension spectra of almost additive sequences, considering simultaneously Birkhoff averages into the future and into the past. Our approach is based on the existence and uniqueness of equilibrium and Gibbs measures for the class of almost additive sequences, in the context of the nonadditive thermodynamic formalism. This formalism is a generalization of the classical thermodynamic formalism, in which the topological pressure of a single function is replaced by the topological pressure of a sequence of functions.
37D35 Thermodynamic formalism, variational principles, equilibrium states
Issue 11 (November 2009)
Received 7 August 2008, in final form 24 September 2009
Published 13 October 2009
Luis Barreira and Paulo Doutor 2009 Nonlinearity 22 2761
Limin Lu et al. 1996 ApJS 107 475
H Watanabe 2002 Metrologia 39 65
Laura I Cerviño et al 2009 Phys. Med. Biol. 54 6853
Edward B. Jenkins and Todd M. Tripp 2001 ApJS 137 297
S Galal Yousef et al 2000 Metrologia 37 365
G. Giovannini et al. 2001 ApJ 552 508
Yuri Ralchenko 2007 J. Phys. B: At. Mol. Opt. Phys. 40 F175
Jianghui Ji et al. 2007 ApJ 657 1092
O A Kruger 2000 Metrologia 37 101