**Contemporary Mathematics**

Volume: 26;
1984;
432 pp;
Softcover

MSC: Primary 00;

Print ISBN: 978-0-8218-5030-5

Product Code: CONM/26

List Price: $60.00

AMS Member Price: $48.00

MAA Member Price: $54.00

**Electronic ISBN: 978-0-8218-7611-4
Product Code: CONM/26.E**

List Price: $60.00

AMS Member Price: $48.00

MAA Member Price: $54.00

# Conference on Modern Analysis and Probability

Share this page *Edited by *
*Richard Beals; Anatole Beck; Alexandra Bellow; Arshag Hajian*

An NSF-supported conference in honor of Professor Shizuo Kakutani was held on June 8–11, 1982, at Yale University, on the occasion of Kakutani's retirement. The three major areas of mathematics on which the conference focused were functional analysis, probability theory, and ergodic theory. Most of the articles presented were works by the respective authors on problems that were pioneered by Professor Kakutani in the past. Questions in Brownian motion, induced transformations, representation of \(M\)-spaces, and fixed point theorems were discussed.

# Table of Contents

## Conference on Modern Analysis and Probability

- Table of Contents ix10 free
- Foreward 114 free
- Program 417
- List of Participants 518
- 1. Cross section map for the geodesic flow on the modular surface 922
- 2. On identification of superadditive ergodic limits 2538
- 3. The equivalence of diffusions on networks to Brownian motion 3346
- 4. On sequences of density zero in ergodic theory 4962
- 5. On the continuity of the percolation probability function 6174
- 6. Coincidence theorems, minimax theorems, and variational inequalities 6780
- 7. Recent developments arising out of Kakutani's work on completion regularity of measure 8194
- 8. An automorphism of a homogeneous measure algebra which does not factorize into a direct product 95108
- 9. Another generalization of the Brouwer fixed point theorem 101114
- 10. An ergodic theorem 105118
- 11. Higher order partial mixing 111124
- 12. IP-systems in ergodic theory 131144
- 13. Induced transformations on a section 149162
- 14. Conjugate Fourier series on the character group of the additive rationals 159172
- 15. A stochastic differential equation in infinite dimensions 163176
- 16. Ergodic theory and combinatorics 171184
- 17. Extensions of Lipschitz mappings into a Hilbert space 189202
- 18. A uniqueness result for a class of compact connected groups 207220
- 19. Two extremal properties of functions 213226
- 20. On Bernoulli convolutions 217230
- 21. Generic theorems for lifting dynamical properties by continuous affine cocycles 223236
- 22. Linear algebra and subshifts of finite type 231244
- 23. The etymology of the word ergodic 249262
- 24. A functional approach to nonstandard measure theory 251264
- 25. On positive operators 263276
- 26. Transmission rates and factors of Markov chains 279292
- 27. Ellis groups and compact right topological groups 295308
- 28. Invariants of finitary isomorphisms with finite expected code-lengths 301314
- 29. Ergodic theory in hyperbolic space 309322
- 30. Embedding of L1 in L1 335348
- 31. Inner and barely linear time changes of ergodic Rk-actions 351364
- 32. Processes evolving from the indefinite past 373386
- 33. An infinitesimal characterization of Gelfand pairs 379392
- 34. Multiple points of Brownian motion 387400
- 35. Measurable dynamics 395408
- 36. A note on Mikusinski's proof of the Titchmarsh convolution theorem 423436
- 37. Ergodic actions of arithmetic groups and the Kakutani-Markov fixed point theorem 427440