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The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function actin
Topological and Ergodic Theory of Symbolic Dynamics
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Symbolic dynamics is essential in the study of dynamical systems of various types and is connected to many other fields such as stochastic processes, ergodic th
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There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in num
Groups and Topological Dynamics
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This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to
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This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, a