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BL
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| Record Number
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711315
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| Doc. No
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b533504
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| Main Entry
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Pesin, Ya. B
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| Title & Author
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Dimension theory in dynamical systems : : contemporary views and applications /\ Yakov B. Pesin
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| Publication Statement
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Chicago :: University of Chicago Press,, 1997
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| Series Statement
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Chicago lectures in mathematics series
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| Page. NO
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xi, 304 pages :: illustrations ;; 24 cm
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| ISBN
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0226662217
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: 0226662225
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: 9780226662213
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: 9780226662220
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| Bibliographies/Indexes
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Includes bibliographical references (pages 295-300) and index
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| Abstract
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In this book, Yakov B. 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
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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. The book can also be used as a text for a special topics course in the theory of dynamical systems and dimension theory
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Topics include, but are not restricted to, the general concept of dimension; the dimension interpretation of some well-known invariants of dynamical systems, such as topological and measure-theoretic entropies; formulas of dimension of some well-known hyperbolic invariant sets, such as Julia sets, horseshoes, and solenoids; mathematical analysis of dimensions that are most often used in applied research, such as correlation and information dimensions; and mathematical theory of invariant multifractals
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| Subject
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Differentiable dynamical systems
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| Subject
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Dimension theory (Topology)
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| Subject
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système dynamique différentiable
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| Subject
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topologie
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| Dewey Classification
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515/.352
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| LC Classification
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QA611.3.P47 1997
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