The thermodynamic formalism for almost-additive sequences
The thermodynamic formalism for almost-additive sequences
We study the nonadditive thermodynamic formalism for theclass of almost-additive sequences of potentials. We define thetopological pressure $P_Z(\Phi)$ of an almost-additive sequence$\Phi$, on a set $Z$. We give conditions which allow us toestablish a variational principle for the topological pressure. Westate conditions for the existence and uniqueness of equilibriummeasures, and …