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Topics in Symbolic Dynamics and Applications

✍ Scribed by Blanchard F., Maass A., Nogueira A. (eds.)

Publisher
Cambridge University Press
Year
2000
Tongue
English
Leaves
264
Series
London Mathematical Society Lecture Note Series
Edition
1
Category
Library
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✦ Synopsis

This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of "low complexity," the following two introduce "high complexity" systems. Chapter five presents results on asymptotic laws for the random times of occurrence of rare events. Chapter six deals with diophantine problems and combinatorial Ramsey theory. Chapter seven looks at the dynamics of symbolic systems arising from numeration systems, and chapter eight gives a complete description of the symbolic dynamics of Lorenz maps

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