# Conference on Modern Analysis and Probability

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*Richard Beals; Anatole Beck; Alexandra Bellow; Arshag Hajian*

# 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