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...
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel :
Birkhäuser, Springer,
c2011
Basel : Birkhäuser, c2011 Basel : Birkhäuser, Springer, c2011 Basel : Birkhäuser, c2011 Basel : [2011] |
| Series: | Progress in mathematics (Boston, Mass.) ;
v. 294 Progress in mathematics (Boston, Mass.) v. 294 |
| Subjects: |
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| 100 | 1 | |a Barreira, Luis, |d 1968- | |
| 100 | 1 | |a Barreira, Luís, |d 1968- |0 http://viaf.org/viaf/sourceID/LC|n2001008268 | |
| 100 | 1 | |a Barreira, Luís, |d 1968- | |
| 100 | 1 | |a Barreira, Luís, |d 1968- | |
| 245 | 1 | 0 | |a Thermodynamic formalism and applications to dimension theory / |c Luis Barreira |
| 260 | |a Basel : |b Birkhäuser, Springer, |c c2011 | ||
| 260 | |a Basel : |b Birkhäuser, |c c2011 | ||
| 260 | |a Basel : |b Birkhäuser, Springer, |c c2011 | ||
| 260 | |a Basel : |b Birkhäuser, |c c2011 | ||
| 264 | 1 | |a Basel : |b Birkhäuser, |c [2011] | |
| 264 | 4 | |c ©2011 | |
| 300 | |a xii, 297 p. : |b ill. ; |c 24 cm | ||
| 300 | |a xii, 297 pages : |b illustrations ; |c 24 cm | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics ; |v v. 294 | |
| 504 | |a Includes bibliographical references (p. 281-293) and index | ||
| 504 | |a Includes bibliographical references (pages 281-293) and index | ||
| 505 | 0 | |a Pt. 1: Classical thermodynamic formalism -- Thermodynamic formalism: basic notions -- Case of symbolic dynamics -- Pt. 2: Nonadditive thermodynamic formalism -- Nonadditive thermodynamic formalism -- Dimension estimates for repellers -- Dimension estimates for hyperbolic sets -- Pt. 3: Subadditive thermodynamic formalism -- Asymptotically subadditive sequences -- Limit sets of geometric constructions -- entropy sectra -- Pt. 4: Almost additive themodynamic formalism -- Almost additive sequences -- Nonconformal repellers -- Multifractal anaysis | |
| 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 | ||
| 530 | |a Also available in an electronic version | ||
| 596 | |a 4 | ||
| 650 | 0 | |a Differentiable dynamical systems | |
| 650 | 0 | |a Dimension theory (Topology) | |
| 650 | 0 | |a Mathematics | |
| 650 | 0 | |a Thermodynamics | |
| 650 | 2 | |a Thermodynamics | |
| 650 | 7 | |a Dimension theory (Topology) |2 fast | |
| 650 | 7 | |a Thermodynamics |2 fast | |
| 650 | 0 | 7 | |a Dimensionstheorie |2 swd |
| 650 | 0 | 7 | |a Dynamisches System |2 swd |
| 650 | 0 | 7 | |a Mathematische Physik |2 swd |
| 650 | 0 | 7 | |a Thermodynamik |2 swd |
| 830 | 0 | |a Progress in mathematics (Boston, Mass.) ; |v v. 294 | |
| 830 | 0 | |a Progress in mathematics (Boston, Mass.) |v v. 294 | |
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