Thermodynamic Formalism and Applications to Dimension Theory PDF

This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic formalism, namely nonadditive, subadditive, and almost additive, and provides a detailed discussion of some of the most significant results in the area, some of them quite recent. It also includes a discussion of the most substantial applications of these flavors of the thermodynamic formalism to dimension theory and multifractal analysis of dynamical systems.

Jun 21, 2019 ... Fifty Years of Thermodynamic Formalism. 22 ... in-Chief application, no later than Friday 12 July. 2019. It is intended ... the basic ideas in the theory of fractional stochastic ... allows one to calculate the dimension of certain frac-. We return to the thermodynamic formalism constructions for random expanding in average transformations and for random subshifts of finite type with random ...