Titre: Thermodynamic Formalism and Applications to Dimension Theory (Progress in Mathematics, 294)
�diteur: Birkh�user
Date de parution: 2013
Langue: anglais
ISBN � 10 chiffres: 3034803362
ISBN � 13 chiffres: 9783034803366
Reliure: Couverture souple
�tat de l'article: New

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Synopsis

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.

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