Ergodic Theory and Harmonic Analysis (eBook, PDF)

Proceedings of the 1993 Alexandria Conference
Redaktion: Petersen, Karl E.

• Format: PDF

Produktbeschreibung

Ergodic 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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 27. Januar 1995
• Englisch
• ISBN-13: 9780511892899
• Artikelnr.: 38211410

Inhaltsangabe

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.