A. A. Tempelman

Ergodic Theorems for Group Actions

Informational and Thermodynamical Aspects

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Mathematics and Its Applications 78
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-90-481-4155-5
• Softcover reprint of the original 1st ed. 1992
• Seitenzahl: 420
• Erscheinungstermin: 15. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 23mm
• Gewicht: 629g
• ISBN-13: 9789048141555
• ISBN-10: 9048141559
• Artikelnr.: 32030662

Inhaltsangabe

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.- 1. Groups and semigroups.- 2. Homogeneous and group-type homogeneous spaces.- 3. Amenable semigroups and ergodic nets.- 4. Positive definite functions.- 5. Representations of semigroups in Banach spaces.- 6. Weakly almost periodic elements and functions.- 7. Dynamical systems.- 8. Homogeneous random functions.- 9. Measurability and continuity of representations, dynamical systems and homogeneous random fields.- 12. The Banach convergence principle.- 13. Directions and nets.- 14. Correspondence between "left" and "right" objects and conditions.- References.