Titlebook: Ergodic Theory and Dynamical Systems; Yves Coudène Textbook 2016 Springer-Verlag London 2016 Ergodic theory.Dynamical systems.Hyperbolic d

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The Pointwise Ergodic Theorem finite measure . representing an extensive quantity conserved during the motion. We wish to study the sequence {..(.)}., which represents the succession of states the system takes on over time. This sequence makes up the . of the point ., or its ..

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Entropy and Information Theorye development of thermodynamics and statistical mechanics with the work of J.W. Gibbs and L. Boltzmann at the end of the nineteenth century. It was, however, not these two theories that inspired A.N. Kolmogorov when he introduced a new invariant called “entropy” to study dynamical systems, but rathe

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Lebesgue Spaces and Isomorphismsr having dismissed a negligible set of points in both spaces, we can find a measure-preserving measurable bijection whose inverse is also measurable. If two dynamical systems are isomorphic, so are their underlying spaces.

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rcely examined production, the chapter reconsiders the notion of soliloquy as a means to analyse Mayakovsky’s performative patterns, qualities, and function in the film’s structure of meaning. To highlight the presence of a soliloquy in a silent film means to focus on an intensely solitary, independ

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