Ergodic Theory and its Connections with Harmonic Analysis

Abstract

Preface Part I. Survey Articles: 1. Pointwise ergodic theorems via harmonic analysis Joseph M. Rosenblatt and Mate 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.