Description

Book Synopsis
The laws of thermodynamics happen to be an extremely powerful tool for understanding the objects of holomorphic dynamical systems. This book develops a 'thermodynamic formalism', bringing together notions that are a priori unrelated. It describes this formalism both from the physical and mathematical point of view.

Table of Contents
Introduction The ergodic hypothesis The concept of entropy Entropy in ergodic theory The Perron-Frobenius-Ruelle theorem Conformal repellers Iteration of quadratic polynomials Phase transitions Hausdorff measures and dimension Bibliography.

Thermodynamic Formalism and Holomorphic Dynamical

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Thermodynamic Formalism and Holomorphic Dynamical by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 11/30/1999 12:00:00 AM
      ISBN13: 9780821819487, 978-0821819487
      ISBN10: 0821819488

      Description

      Book Synopsis
      The laws of thermodynamics happen to be an extremely powerful tool for understanding the objects of holomorphic dynamical systems. This book develops a 'thermodynamic formalism', bringing together notions that are a priori unrelated. It describes this formalism both from the physical and mathematical point of view.

      Table of Contents
      Introduction The ergodic hypothesis The concept of entropy Entropy in ergodic theory The Perron-Frobenius-Ruelle theorem Conformal repellers Iteration of quadratic polynomials Phase transitions Hausdorff measures and dimension Bibliography.

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