Description

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" behaviour. In this book, Yakov Pesin introduces an 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.

Dimension Theory in Dynamical Systems: Contemporary Views and Applications

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Paperback / softback by Yakov B. Pesin

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The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for... Read more

    Publisher: The University of Chicago Press
    Publication Date: 08/12/1997
    ISBN13: 9780226662220, 978-0226662220
    ISBN10: 0226662225

    Number of Pages: 311

    Non Fiction , Mathematics & Science , Education

    Description

    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" behaviour. In this book, Yakov Pesin introduces an 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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