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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2011.
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| Edición: | 1st ed. 2011. |
| Colección: | Progress in Mathematics,
294 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-0348-0206-2 | ||
| 003 | DE-He213 | ||
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| 020 | |a 9783034802062 |9 978-3-0348-0206-2 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0206-2 |2 doi | |
| 050 | 4 | |a QA843-871 | |
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| 072 | 7 | |a GPFC |2 thema | |
| 082 | 0 | 4 | |a 515.39 |2 23 |
| 100 | 1 | |a Barreira, Luis. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Thermodynamic Formalism and Applications to Dimension Theory |h [electronic resource] / |c by Luis Barreira. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2011. | |
| 300 | |a XII, 300 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Progress in Mathematics, |x 2296-505X ; |v 294 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034803366 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034802055 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034802079 |
| 830 | 0 | |a Progress in Mathematics, |x 2296-505X ; |v 294 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0348-0206-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||