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: Cambridge University Press
Year: 1995
Language: English
Pages: 446
CONTENTS......Page 6
Preface......Page 8
PART I: SURVEY ARTICLES......Page 10
Pointwise ergodic theorems via harmonic analysis......Page 12
Harmonic analysis in rigidity theory......Page 162
Some properties and applications of joinings in ergodic theory......Page 216
PART II: RESEARCH PAPERS......Page 246
Ergodic baker's transformations......Page 248
Almost sure convergence of projections to self-adjoint operators in L2(0,1)......Page 256
Quasi-uniform limits of uniformly recurrent points......Page 262
Strictly nonpointwise Markov operators and weak mixing......Page 268
Two techniques in multiple recurrence......Page 282
For Bernoulli transformations the smallest natural family of factors consists of all factors......Page 300
Topological entropy of extensions......Page 308
Functional equations associated with the spectral properties of compact group extensions......Page 318
Multiple recurrence for nilpotent groups of affine transformations of the 2-torus......Page 338
A remark on isometric extensions in relatively independent joinings......Page 352
Three results in recurrence......Page 358
Calculation of the limit in the return times theorem for Dunford-Schwartz operators......Page 368
Eigenfunctions of Tx S and the Conze-Lesigne algebra......Page 378
Conference Program......Page 442
List of Participants......Page 444
