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Item Details
Title: THERMODYNAMIC FORMALISM AND APPLICATIONS TO DIMENSION THEORY
By: Luis Barreira
Format: Paperback

List price: £79.99


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ISBN 10: 3034803362
ISBN 13: 9783034803366
Publisher: SPRINGER BASEL
Pub. date: 24 October, 2013
Edition: 2011 ed.
Series: Progress in Mathematics 294
Pages: 300
Description: This volume provides a unified exposition of thermodynamic formalism and some of its main extensions, with an emphasis on the relation to the dimension theory and the multifractal analysis of dynamical systems. It also includes a discussion of the most substantial applications.
Synopsis: This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic formalism, namely nonadditive, subadditive, and almost additive, and provides a detailed discussion of some of the most significant results in the area, some of them quite recent. It also includes a discussion of the most substantial applications of these flavors of the thermodynamic formalism to dimension theory and multifractal analysis of dynamical systems.
Illustrations: biography
Publication: Switzerland
Imprint: Springer Basel
Returns: Returnable
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ADMISSIBILITY AND HYPERBOLICITY (PB)
COMPLEX ANALYSIS AND DIFFERENTIAL EQUATIONS (PB)
DIMENSION AND RECURRENCE IN HYPERBOLIC DYNAMICS (HB)
DIMENSION THEORY OF HYPERBOLIC FLOWS (HB)
DIMENSION THEORY OF HYPERBOLIC FLOWS (PB)
DYNAMICAL SYSTEMS (PB)
DYNAMICAL SYSTEMS BY EXAMPLE (HB)
ERGODIC THEORY, HYPERBOLIC DYNAMICS AND DIMENSION THEORY (PB)
EXERCISES IN LINEAR ALGEBRA (HB)
EXERCISES IN LINEAR ALGEBRA (PB)
HYPERBOLICITY IN DELAY EQUATIONS (HB)
INTRODUCTION TO SMOOTH ERGODIC THEORY
INTRODUCTION TO SMOOTH ERGODIC THEORY
INTRODUCTION TO SMOOTH ERGODIC THEORY (HB)
LYAPUNOV EXPONENTS
LYAPUNOV EXPONENTS (HB)
LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY (PB)
NONUNIFORM HYPERBOLICITY
NONUNIFORM HYPERBOLICITY (HB)
ORDINARY DIFFERENTIAL EQUATIONS
ORDINARY DIFFERENTIAL EQUATIONS (HB)
STABILITY OF NONAUTONOMOUS DIFFERENTIAL EQUATIONS (PB)
THERMODYNAMIC FORMALISM AND APPLICATIONS TO DIMENSION THEORY (HB)

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