This volume contains articles that describe the connections between ergodic theory and convergence, rigidity theory, and the theory of joinings. These papers present the background of each area of interaction, the most outstanding recent results, and the currently promising lines of research. In the aggregate, they will provide a perfect introduction for anyone beginning research in one of these areas.
Author(s): Karl E. Petersen, Ibrahim Salama
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 1995
Language: English
Pages: 445
CONTENTS......Page 5
Preface......Page 7
PART I: SURVEY ARTICLES......Page 9
Pointwise ergodic theorems via harmonic analysis......Page 11
Harmonic analysis in rigidity theory......Page 161
Some properties and applications of joinings in ergodic theory......Page 215
PART II: RESEARCH PAPERS......Page 245
Ergodic baker's transformations......Page 247
Almost sure convergence of projections to self-adjoint operators in L2(0,1)......Page 255
Quasi-uniform limits of uniformly recurrent points......Page 261
Strictly nonpointwise Markov operators and weak mixing......Page 267
Two techniques in multiple recurrence......Page 281
For Bernoulli transformations the smallest natural family of factors consists of all factors......Page 299
Topological entropy of extensions......Page 307
Functional equations associated with the spectral properties of compact group extensions......Page 317
Multiple recurrence for nilpotent groups of affine transformations of the 2-torus......Page 337
A remark on isometric extensions in relatively independent joinings......Page 351
Three results in recurrence......Page 357
Calculation of the limit in the return times theorem for Dunford-Schwartz operators......Page 367
Eigenfunctions of Tx S and the Conze-Lesigne algebra......Page 377
Conference Program......Page 441
List of Participants......Page 443
