Ergodic Theory and Harmonic Analysis
Ergodic Theory and Harmonic Analysis
Ibrahim Salama, University of North Carolina, Greensboro
£50.99
GBPErgodic theory is a field that is stimulating on its own, and also in its interactions with other branches of mathematics and science. In recent years, the interchanges with harmonic analysis have been especially noticeable and productive. This book contains survey papers describing the relationship of ergodic theory with convergence, rigidity theory and the theory of joinings. These papers present the background of each area of interaction, the most outstanding results and promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas. Thirteen related research papers describe the work; several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder deal with convergence and a variety of other topics in dynamics.
- Lively and exciting area of mathematics
- Well-written tutorial papers form the basis for this book
- Perfect introduction to anyone embarking on research in this area
Product details
May 1995Paperback
9780521459990
448 pages
228 × 152 × 25 mm
0.609kg
Available
Table of Contents
- Preface
- Part I. Survey Articles:
- 1. Pointwise ergodic theorems via harmonic analysis Joseph M. Rosenblatt and Máté Wierdl
- 2. Harmonic analysis in rigidity theory R. J. Spatzier
- 3. Some properties and applications of joinings in ergodic theory J.-P. Thouvenot
- Part II. Research Papers:
- 4. Ergodic baker's transformations C. J. Bose and P. Grezegorczyk
- 5. Almost sure convergence of projections to self-adjoint operators in L2(0,1) Lech Ciach, Ryszard Jajte and Adam Paskievicz
- 6. Quasi-uniform limits of uniformly recurrent points Tomasz Downarowicz
- 7. Strictly nonpointwise Markov operators and weak mixing Tomasz Downarowicz
- 8. Two techniques in multiple recurrence A. H. Forrest
- 9. For Bernoulli transformations the smallest natural family of factors consists of all factors Eli Glasner
- 10. Topological entropy of extensions Eli Glasner and Benjamin Weiss
- 11. Functional equations associated with the spectral properties of compact group extensions Geoffrey Goodson
- 12. Multiple recurrence for nilpotent groups of affine transformations of the 2-torus Daniel A. Hendrick
- 13. A remark on isometric extensions in relatively independent joinings Emmanuel Lesigne
- 14. Three results in recurrence Randall McCutcheon
- 15. Calculation of the limit in the return times theorem for Dunford-Schwartz operators James H. Olsen
- 16. Eigenfunctions of T x S and the Conze-Lesigne algebra Daniel J. Rudolph
- Conference program
- List of participants.
