Lyapunov Exponents

Nonfiction, Science & Nature, Mathematics, Linear Programming, Mathematical Analysis
Cover of the book Lyapunov Exponents by Luís Barreira, Springer International Publishing
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Author: Luís Barreira ISBN: 9783319712611
Publisher: Springer International Publishing Publication: December 30, 2017
Imprint: Birkhäuser Language: English
Author: Luís Barreira
ISBN: 9783319712611
Publisher: Springer International Publishing
Publication: December 30, 2017
Imprint: Birkhäuser
Language: English

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.

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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.

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