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Titlebook: Ergodic Theory and Differentiable Dynamics; Ricardo Mañé Book 1987 Springer-Verlag Berlin Heidelberg 1987 dynamical systems.ergodic theory

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书目名称Ergodic Theory and Differentiable Dynamics
编辑Ricardo Mañé
视频video
丛书名称Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati
图书封面Titlebook: Ergodic Theory and Differentiable Dynamics;  Ricardo Mañé Book 1987 Springer-Verlag Berlin Heidelberg 1987 dynamical systems.ergodic theory
描述This version differs from the Portuguese edition only in a few additions and many minor corrections. Naturally, this edition raised the question of whether to use the opportunity to introduce major additions. In a book like this, ending in the heart of a rich research field, there are always further topics that should arguably be included. Subjects like geodesic flows or the role of Hausdorff dimension in con­ temporary ergodic theory are two of the most tempting gaps to fill. However, I let it stand with practically the same boundaries as the original version, still believing these adequately fulfill its goal of presenting the basic knowledge required to approach the research area of Differentiable Ergodic Theory. I wish to thank Dr. Levy for the excellent translation and several of the correc­ tions mentioned above. Rio de Janeiro, January 1987 Ricardo Mane Introduction This book is an introduction to ergodic theory, with emphasis on its relationship with the theory of differentiable dynamical systems, which is sometimes called differentiable ergodic theory. Chapter 0, a quick review of measure theory, is included as a reference. Proofs are omitted, except for some results on der
出版日期Book 1987
关键词dynamical systems; ergodic theory; measure theory
版次1
doihttps://doi.org/10.1007/978-3-642-70335-5
isbn_softcover978-3-642-70337-9
isbn_ebook978-3-642-70335-5Series ISSN 0071-1136 Series E-ISSN 2197-5655
issn_series 0071-1136
copyrightSpringer-Verlag Berlin Heidelberg 1987
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Host Parasite Specificity and Pathogenesis,, ., .) and (., ., .)are equivalent. The approach developed there, involving the study of spectral properties of the associated isometric operators.: . (., ., .) → . (., ., .) (. = 1,2), led to the concept of spectral equivalence. We proved that equivalent maps are spectrally equivalent, and mention
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Entropy,, ., .) and (., ., .)are equivalent. The approach developed there, involving the study of spectral properties of the associated isometric operators.: . (., ., .) → . (., ., .) (. = 1,2), led to the concept of spectral equivalence. We proved that equivalent maps are spectrally equivalent, and mentioned that the converse is false.
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Neetu Israni,Srividya ShivakumarThe purpose of this chapter is to present the basic definitions and theorems of measure theory. Proofs are only included when they cannot be found in standard references or when the formulation of the statement involved differs significantly from the usual one. The basic references for this chapter are Rudin [R6] and Munroe [M13].
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