Ergodic theorems for group actions : informational and thermodynamical aspects

Bibliographic Information

Ergodic theorems for group actions : informational and thermodynamical aspects

by Arkady Tempelman

(Mathematics and its applications, v. 78)

Kluwer Academic Pub., c1992

Other Title

Ėrgodicheskie teoremy na gruppakh

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Note

Bibliography: p. 364-393

Includes index

Description and Table of Contents

Description

One service mathematics has rendered the 'Et moi, ..., si j'avait Sil comment en revenir, je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences_ Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science .. :; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Table of Contents

Preface. Notations. Introduction. 1: Means and averageable functions. 2: Ergodicity and mixing. 3: Averaging sequences. Universal ergodic theorems. 4: Mean ergodic theorems. 5: Maximal and dominated ergodic theorems. 6. Pointwise ergodic theorems. 7. Ergodic theorems for homogeneous random measures. 8: Specific informational and thermodynamical characteristics of homogeneous random fields. Appendix. References. Index.

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Details

  • NCID
    BA17193321
  • ISBN
    • 0792317173
  • LCCN
    92011459
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Dordrecht ; Boston
  • Pages/Volumes
    xviii, 399 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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