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Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects

Tempelman, A. A

Dordrecht: Springer Netherlands 1992

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  • Título:
    Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects
  • Autor: Tempelman, A. A
  • Assuntos: Abstract Harmonic Analysis ; Complex Systems ; Functional analysis ; Group theory ; Harmonic analysis ; Mathematics ; Measure and Integration ; Statistical physics ; Statistical Physics and Dynamical Systems ; Statistics ; Statistics, general
  • Descrição: This volume is devoted to generalizations of the classical Birkhoff and von Neumann ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures in homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n dimensional Euclidean and Lobachevsky spaces with n>2 and all simple Lie groups with finite centre are examples of such spaces).;Also dealt with are the applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random field in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and references.
  • Títulos relacionados: Mathematics and Its Applications
  • Editor: Dordrecht: Springer Netherlands
  • Data de criação/publicação: 1992
  • Formato: 418
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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