Mathematical Research Letters

Volume 3, Issue 4, July 1996 pp. 499-509.

A non-additive thermodynamic formalism and dimension theory of hyperbolic dynamical systems

Authors: Luis M. Barreira
Author institution: Instituto Superior Técnico

Summary: We develop a non-additive version of the thermodynamic formalism. This allows us to unify and extend many results of dimension theory of hyperbolic dynamical systems. We obtain lower and upper bounds for the dimension of a broad class of Cantor-like sets and hyperbolic sets.

Contents Full-Text PDF