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Ergodic Theorems for Group Actions A.A. Tempelman

Ergodic Theorems for Group Actions By A.A. Tempelman

Ergodic Theorems for Group Actions by A.A. Tempelman


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Summary

Devoted to generalizations of the Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces, this book contains eight chapters, a number of appendices and a substantial list of references.

Ergodic Theorems for Group Actions Summary

Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects by A.A. Tempelman

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.

Additional information

NPB9780792317173
9780792317173
0792317173
Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects by A.A. Tempelman
New
Hardback
Springer
1992-05-31
399
N/A
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