Thermodynamic formalism and applications to dimension theory
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...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2011. |
| Sarja: | Progress in Mathematics
294 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Description d'après consultation du 25 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Thermodynamic formalism and applications to dimension theory, Luis Barreira, Basel, Birkhäuser, 2011, 1 vol. (XII-297 p.), Progress in mathematics, 978-3-03-480205-5 • Thermodynamic Formalism and Applications to Dimension Theory, Texte imprimé, 9783034803366 • Thermodynamic formalism and applications to dimension theory, Luis Barreira, Basel, Birkhäuser, 2011, 1 vol. (XII-297 p.), Progress in mathematics, 978-3-03-480205-5 • Thermodynamic Formalism and Applications to Dimension Theory, Texte imprimé, 9783034802079 |
Sisällysluettelo:
- Preface 1 Introduction I Classical Thermodynamic Formalism 2 Thermodynamic Formalism: Basic Notions 3 The Case of Symbolic Dynamics II Nonadditive Thermodynamic Formalism 4 Nonadditive Thermodynamic Formalism 5 Dimension Estimates for Repellers 6 Dimension Estimates for Hyperbolic Sets III Subadditive Thermodynamic Formalism 7 Asymptotically Subadditive Sequences 8 Limit Sets of Geometric Constructions 9 Entropy Spectra IV Almost Additive Thermodynamic Formalism 10 Almost Additive Sequences 11 Nonconformal Repellers 12 Multifractal Analysis Bibliography