Invitation to ergodic theory / C.E. Silva.
Material type:
TextSeries: Student mathematical library ; v 42.Publication details: Providence : American Mathematical Society, 2012.Description: ix, 262 p. : ill. ; 22 cmISBN: - 9780821887332
- 515.48 23 Si586
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.48 Si586 (Browse shelf(Opens below)) | Available | 136292 |
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| 515.48 G672 Ergodic theory of lattice subgroups | 515.48 H355 Ergodic theory and negative curvature : CIRM Jean-Morlet Chair, Fall 2013 / | 515.48 K14 Outline of ergodic theory | 515.48 Si586 Invitation to ergodic theory / | 515.48 V614 Foundations of ergodic theory / | 515.5 A1416 New concepts in arithmetic functions | 515.5 Ag277 Theroy of incomplete cylindrical functions and their applications |
Includes bibliographical references and index.
Ch. 1. Introduction --
Ch. 2. Lebesgue measure --
Ch. 3. Recurrence and ergodicity --
Ch. 4. The Lebesgue integral --
Ch. 5. The ergodic theorem --
Ch. 6. Mixing notions --
App. A. Set notation and the completeness of R --
App. B. Topology of R and metric spaces--
Bibliographical notes--
Bibliography--
Index.
This book provides an introduction to the growing field of ergodic theory, also known as measurable dynamics. It covers topics such as recurrence, ergodicity, the ergodic theorem and mixing. It is aimed at students who have completed a basic course in undergraduate real analysis covering topics such as basic compactness properties and open and closed sets in the real line.
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