An Introduction to Infinite Ergodic Theory
Seiten
1997
American Mathematical Society (Verlag)
9780821804940 (ISBN)
American Mathematical Society (Verlag)
9780821804940 (ISBN)
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Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. This book focuses on properties specific to infinite measure preserving transformations. It begins with an introduction to basic nonsingular ergodic theory, including recurrence behavior, existence of invariant measures, and spectral theory.
Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. This book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behavior, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible 'ergodic behavior' is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.
Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. This book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behavior, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible 'ergodic behavior' is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.
Non-singular transformations General ergodic and spectral theorems Transformations with infinite invariant measures Markov maps Recurrent events and similarity of Markov shifts Inner functions Hyperbolic geodesic flows Cocycles and skew products Bibliography Index.
| Erscheint lt. Verlag | 30.5.1997 |
|---|---|
| Reihe/Serie | Mathematical Surveys and Monographs |
| Zusatzinfo | illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 742 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-13 | 9780821804940 / 9780821804940 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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