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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aErgodic theory of equivariant diffeomorphisms $eMarkov partitions and stable ergodicity /$fMichael Field, Matthew Nicol
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2004.
210  4$d©2004
215   $a1 online resource (113 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 169, Number 803
300   $a"Volume 169, Number 803 (end of volume)."
311   $a0-8218-3599-8 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Equivariant Geometry and Dynamics""; ""2.1. Lie groups, I??-manifolds and representations""; ""2.1.1. Compact Lie groups""; ""2.1.2. I??-manifolds""; ""2.2. Equivariant dynamical systems""; ""2.2.1. Discrete dynamical systems""; ""2.2.2. Skew and principal extensions""; ""2.2.3. Continuous dynamical systems""; ""2.3. Local theory""; ""2.4. Invariant subspaces and transversality""; ""2.5. Basic sets for equivariant diffeomorphisms""; ""Chapter 3. Technical preliminaries""; ""3.1. Geometry of group actions and maps""
327   $a""4.4. Existence of I??-regular Markov partitions""""Chapter 5. Transversally hyperbolic sets""; ""5.1. Transverse hyperbolicity""; ""5.2. Properties of transversally hyperbolic sets""; ""5.3. I??-expansiveness""; ""5.4. Stability properties of transversally hyperbolic sets""; ""5.5. Subshifts of finite type and attractors""; ""5.6. Local product structure""; ""5.7. Expansiveness and shadowing""; ""5.8. Stability of basic sets""; ""Chapter 6. Markov partitions for basic sets""; ""6.1. Rectangles""; ""6.2. Slices""; ""6.3. Pre-Markov partitions""; ""6.4. Proper and admissible rectangles""
327   $a""6.5. I??-regular Markov partitions""""6.6. Construction of I??-regular Markov partitions""; ""Part 2. Stable Ergodicity""; ""Chapter 7. Preliminaries""; ""7.1. Metrics""; ""7.2. The Haar lift""; ""7.3. Isotropy and ergodicity""; ""7.4. I??-regular Markov partitions""; ""7.5. Measures on the orbit space""; ""7.6. Spectral characterization of ergodicity and weak-mixing""; ""Chapter 8. LivA?¡ic regularity and ergodic components""; ""8.1. LivA?¡ic regularity""; ""8.2. Structure of ergodic components""; ""Chapter 9. Stable Ergodicity""; ""9.1. Stable ergodicity: I?? compact and connected""
327   $a""9.2. Stable ergodicity: I?? semisimple""""9.3. Stable ergodicity for attractors""; ""9.4. Stable ergodicity and SRB attractors""; ""Appendix A. On the absolute continuity of v""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 169, Number 803.
606   $aErgodic theory
606   $aDiffeomorphisms
615  0$aErgodic theory.
615  0$aDiffeomorphisms.
676   $a515.48
700   $aField$b Mike$056769
702   $aNicol$b Matthew
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910820408503321
996   $aErgodic theory of equivariant diffeomorphisms$94108128
997   $aUNINA