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APPROXIMATIONS IN ERGODIC THEORY
Russian Mathematical Surveys, 1967CONTENTSIntroductionPart I. The method of approximations § 1. Definitions and examples § 2. Approximations, ergodicity and mixing § 3. Approximations and the spectrum § 4. Approximations and entropy § 5. Fibre bundles § 6. Flows § 7. Some unsolved problemsPart II. Applications § 8. Shifting of intervals § 9.
Katok, A. B., Stepin, A. M.
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Canadian Journal of Mathematics, 1999
AbstractMany aspects of the behavior of averages in ergodic theory are a matter of counting the number of times a particular event occurs. This theme is pursued in this article where we consider large deviations, square functions, jump inequalities and related topics.
Jones, Roger L. +2 more
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AbstractMany aspects of the behavior of averages in ergodic theory are a matter of counting the number of times a particular event occurs. This theme is pursued in this article where we consider large deviations, square functions, jump inequalities and related topics.
Jones, Roger L. +2 more
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Gibbs Measures in Ergodic Theory
Russian Mathematical Surveys, 1972In this paper we introduce the concept of a Gibbs measure, which generalizes the concept of an equilibrium Gibbs distribution in statistical physics. The new concept is important in the study of Anosov dynamical systems. By means of this concept we construct a wide class of invariant measures for dynamical systems of this kind and investigate the ...
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Nuclear effective field theory: Status and perspectives
Reviews of Modern Physics, 2020Hans-Werner Hammer +2 more
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