| 000 | 02705nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-3-0348-0206-2 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083739.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110822s2011 sz | s |||| 0|eng d | ||
| 020 |
_a9783034802062 _9978-3-0348-0206-2 |
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| 024 | 7 |
_a10.1007/978-3-0348-0206-2 _2doi |
|
| 050 | 4 | _aQA313 | |
| 072 | 7 |
_aPBWR _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.39 _223 |
| 082 | 0 | 4 |
_a515.48 _223 |
| 100 | 1 |
_aBarreira, Luis. _eauthor. |
|
| 245 | 1 | 0 |
_aThermodynamic Formalism and Applications to Dimension Theory _h[electronic resource] / _cby Luis Barreira. |
| 264 | 1 |
_aBasel : _bSpringer Basel, _c2011. |
|
| 300 |
_aXII, 300 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aProgress in Mathematics ; _v294 |
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| 505 | 0 | _aPreface -- 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 | _aThis 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 | _aMathematics. | |
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aDynamical Systems and Ergodic Theory. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783034802055 |
| 830 | 0 |
_aProgress in Mathematics ; _v294 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-0348-0206-2 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c106610 _d106610 |
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