03316nam 2200721 a 450 991097293460332120200520144314.0978022666223702266622339781299104655129910465710.7208/9780226662237(CKB)1000000000411136(EBL)408237(OCoLC)437247587(SSID)ssj0000139320(PQKBManifestationID)11136704(PQKBTitleCode)TC0000139320(PQKBWorkID)10010602(PQKB)11190194(MiAaPQ)EBC408237(DE-B1597)535859(OCoLC)781253693(DE-B1597)9780226662237(Au-PeEL)EBL408237(CaPaEBR)ebr10230009(CaONFJC)MIL441715(Perlego)1851258(EXLCZ)99100000000041113619970411d1997 uy 0engurcn|||||||||txtccrDimension theory in dynamical systems contemporary views and applications /Yakov B. Pesin1st ed.Chicago University of Chicago Press19971 online resource (320 p.)Chicago lectures in mathematics seriesDescription based upon print version of record.9780226662220 0226662225 9780226662213 0226662217 Includes bibliographical references (p. 295-300) and index.pt. 1. Caratheodory dimension characteristics -- pt. 2. Applications to dimension theory and dynamical systems.The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beautiful but complicated geometric structure, which is the subject of study in dimension theory. And in dynamics the presence of invariant fractals often results in unstable "turbulent-like" motions and is associated with "chaotic" behavior. In this book, Yakov Pesin introduces a new area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a comprehensive and systematic treatment of modern dimension theory in dynamical systems, summarizes the current state of research, and describes the most important accomplishments of this field. Pesin's synthesis of these subjects of broad current research interest will be appreciated both by advanced mathematicians and by a wide range of scientists who depend upon mathematical modeling of dynamical processes.Chicago lectures in mathematics.Dimension theory (Topology)Differentiable dynamical systemsDimension theory (Topology)Differentiable dynamical systems.515/.352SK 290rvkPesin Ya. B319209MiAaPQMiAaPQMiAaPQBOOK9910972934603321Dimension theory in dynamical systems4361114UNINA