Thermodynamic Formalism and Applications to Dimension Theory

The monograph gives a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to the dimension theory and the 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 the dimension theory and the multifractal analysis of dynamical systems. The text is self-contained.