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024 7 $a10.1007/978-3-7643-8882-9
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035   $a(EBL)417558
035   $a(OCoLC)304563693
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100   $a20080528d2008      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDimension and recurrence in hyperbolic dynamics$b[electronic resource] /$fLuis Barreira
205   $a1st ed. 2008.
210   $aBasel $cBirkha?user ;$a[London $cSpringer, distributor]$dc2008
215   $a1 online resource (309 p.)
225 1 $aProgress in mathematics ;$v272
300   $aDescription based upon print version of record.
311   $a3-7643-8881-1 
320   $aIncludes bibliographical references and index.
327   $a1. Dimension theory -- 2. Multifractal analysis : core theory -- 3. Multifractal analysis : further developments -- 4. Hyperbolicity and recurrence.
330   $aThe main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. More than half of the material appears here for the first time in book form, describing many recent developments in the area such as topics on irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence. All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book. The text is self-contained and directed to researchers as well as graduate students that wish to have a global view of the theory together with a working knowledge of its main techniques. It will also be useful as as basis for graduate courses in dimension theory of dynamical systems, multifractal analysis, and pointwise dimension and recurrence in hyperbolic dynamics.
410  0$aProgress in mathematics (Boston, Mass.) ;$vv. 272.
606   $aDifferentiable dynamical systems
606   $aHyperbolic groups
606   $aDimension theory (Topology)
615  0$aDifferentiable dynamical systems.
615  0$aHyperbolic groups.
615  0$aDimension theory (Topology)
676   $a514.7
700   $aBarreira$b Lui?s$f1968-$0313577
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910782363603321
996   $aDimension and recurrence in hyperbolic dynamics$93768159
997   $aUNINA