Ergodic Theorems for Group Actions
Springer (Verlag)
978-90-481-4155-5 (ISBN)
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.
Erscheint lt. Verlag | 15.12.2010 |
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Reihe/Serie | Mathematics and Its Applications ; 78 |
Zusatzinfo | 1 Illustrations, black and white; XVIII, 399 p. 1 illus. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
ISBN-10 | 90-481-4155-9 / 9048141559 |
ISBN-13 | 978-90-481-4155-5 / 9789048141555 |
Zustand | Neuware |
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