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.
Originally published in 1993.
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Ya. G. Sinai is Professor of Mathematics at Princeton University.
"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."--Physics Today
Another Princeton book authored or coauthored by Iakov Grigorevich Sinai: