A. A. Tempelman

Ergodic Theorems for Group Actions (eBook, PDF)

Informational and Thermodynamical Aspects

• Format: PDF

Produktbeschreibung

Zur Zeit liegt uns keine Inhaltsangabe vor.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 399
• Erscheinungstermin: 17. April 2013
• Englisch
• ISBN-13: 9789401714600
• Artikelnr.: 44060524

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.