This book offers a self-contained introduction to the theory of
Lyapunov exponents and its applications, mainly in connection with
hyperbolicity, ergodic theory and multifractal analysis. It
discusses the foundations and some of the main results and main
techniques in the area, while also highlighting selected topics of
current research interest. With the exception of a few basic
results from ergodic theory and the thermodynamic formalism, all
the results presented include detailed proofs. The book is intended
for all researchers and graduate students specializing in dynamical
systems who are looking for a comprehensive overview of the
foundations of the theory and a sample of its applications.
General
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