This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multi-dimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems.
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No other book that I can think of covers this range of topics with the level of clarity that this book does.... I can't imagine a better choice than this book for someone wanting to come up to speed with modern developments in mathematical ergodic theory.
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