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Relations Between Some Quantities in Classical Thermodynamics and Abstract Dynamics. Beyond Hyperbolicity

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Abstract

Formal relationships among statistical mechanics, multifractal analysis, and dynamical systems with weaker conditions than the existence of Markov partitions are presented. The hypotheses we consider are Bowen's expansiveness and specification property, so that more general dynamical systems than, for instance, mixing hyperbolic systems can be included in our formalism.

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Authors and Affiliations

  1. Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI), Universidad Nacional de La Plata, Argentina

    A. M. Mesón

  2. Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB) UNLP-CONICET, cc, 565 - (1900), La Plata, Argentina

    F. Vericat

Authors
  1. A. M. Mesón
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  2. F. Vericat
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Mesón, A.M., Vericat, F. Relations Between Some Quantities in Classical Thermodynamics and Abstract Dynamics. Beyond Hyperbolicity. Journal of Dynamical and Control Systems 9, 437–448 (2003). https://doi.org/10.1023/A:1024625306073

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