Author : Luis Barreira
Release : 2011-08-24
Genre : Mathematics
Kind : eBook
Book Rating : 064/5 ( reviews)
Book Synopsis Thermodynamic Formalism and Applications to Dimension Theory by : Luis Barreira
Download or read book Thermodynamic Formalism and Applications to Dimension Theory written by Luis Barreira. This book was released on 2011-08-24. Available in PDF, EPUB and Kindle. Book excerpt: 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.