On sets of time and space averages for continuous functions on a configuration space

DOI10.1070/RM2003V058N02ABEH000616zbMath1064.28016MaRDI QIDQ4829601

B. M. Gurevich, Arkady Tempelman

Publication date: 29 November 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

entropyHausdorff dimensionshiftsergodic Gibbs measure

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60)

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Boltzmann and Poincaré entropy, Boltzmann extremals, and Hamilton-Jacobi method for non-Hamiltonian situation

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