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020 _a9783764388829
_99783764388829
024 7 _a10.1007/9783764388829
_2doi
035 _avtls000362988
039 9 _a201509030651
_bVLOAD
_c201405070337
_dVLOAD
_y201402211136
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA313
100 1 _aBarreira, Luis.
_eautor
_9316044
245 1 0 _aDimension and Recurrence in Hyperbolic Dynamics /
_cby Luis Barreira.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2008.
300 _axiv, 300 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aProgress in Mathematics ;
_v272
500 _aSpringer eBooks
505 0 _aBasic Notions -- Basic Notions -- Dimension Theory -- Dimension Theory and Thermodynamic Formalism -- Repellers and Hyperbolic Sets -- Measures of Maximal Dimension -- Multifractal Analysis: Core Theory -- Multifractal Analysis of Equilibrium Measures -- General Concept of Multifractal Analysis -- Dimension of Irregular Sets -- Variational Principles in Multifractal Analysis -- Multifractal Analysis: Further Developments -- Multidimensional Spectra and Number Theory -- Multifractal Rigidity -- Hyperbolic Sets: Past and Future -- Hyperbolicity and Recurrence -- Pointwise Dimension for Hyperbolic Dynamics -- Product Structure of Hyperbolic Measures -- Quantitative Recurrence and Dimension Theory.
520 _aThe main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. More than half of the material appears here for the first time in book form, describing many recent developments in the area such as topics on irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence. All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book. The text is self-contained and directed to researchers as well as graduate students that wish to have a global view of the theory together with a working knowledge of its main techniques. It will also be useful as as basis for graduate courses in dimension theory of dynamical systems, multifractal analysis, and pointwise dimension and recurrence in hyperbolic dynamics.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783764388812
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-8882-9
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c309670
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