000 02683nam a22004335i 4500
001 u373073
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005 20160812084128.0
007 cr nn 008mamaa
008 110822s2011 sz | s |||| 0|eng d
020 _a9783034802062
_9978-3-0348-0206-2
040 _cMX-MeUAM
050 4 _aQA313
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[recurso electrónico] /
_cby Luis Barreira.
264 1 _aBasel :
_bSpringer Basel,
_c2011.
300 _aXII, 300 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics ;
_v294
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 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0348-0206-2
596 _a19
942 _cLIBRO_ELEC
999 _c200953
_d200953