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.
- ISBN10 6613355585
- ISBN13 9786613355584
- Publish Date 1 January 2011
- Publish Status Active
- Out of Print 7 March 2012
- Publish Country US
- Imprint Not Avail
- Format eBook
- Pages 300
- Language English