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

被引:0
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作者
A. M. Mesón
F. Vericat
机构
[1] Universidad Nacional de La Plata,Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería (GAMEFI)
[2] Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB) UNLP-CONICET,undefined
[3] cc,undefined
关键词
thermodynamic formalism; multifractal analysis; expansiveness, specification;
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摘要
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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页码:437 / 448
页数:11
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