Session on Ergodic Theory and Probability

- 5:00-7:00pm Reception in the Math Lounge (Earth Science 152B)

Greetings and organization of carpooling to dinner

**Monday:**

- 9:15-10:15 Roger L. Jones, DePaul University

"When does a sequence of operators diverge" - 10:30 - 11:30 Plenary Lecture:(Analysis)
**Ralph Showalter**(University of Texas)

Partial Differential Equations with Hysteresis - LUNCH
- 1:00-2:00 Plenary Lecture:
**Andres del Junco**(University of Toronto)

" Some applications of joinings in ergodic theory" - 2:10-2-40 Jane Hawkins, University of North Carolina

"Bernoulli and exactness properties of Lebesgue measure for rational maps of the sphere" - 2:45-3:15 Rob Bradley, Adelphi University

"On the Distribution of Returns in Random Walks" - 3:15-3:30 coffee break
- 3:30-4:00 Aimee Johnson, Swarthmore College

"Decomposing Textile Systems" - 4:05-4:35 Reem Yassawi, McGill University

"Rank One Group Actions and Multiple Mixing" - 4:40-5:10 Alexander Soshnikov, Princeton University

"Global distribution of spacings in random matrices: Gaussian fluctuation" - 5:15-7:15 RECEPTION at the Math Lounge, Math. Dept. ES 152B

**Tuesday:**

- 9:15-10:15 Burgess Davis, Purdue University

"Distribution of Brownian local time on curves" - 10:30-11:30 Plenary Lecture:
**Andre Zelevinski**(Northeastern University)

"Polyhedra combinatorics in representation theory" - LUNCH
- 1:00 - 2:00 Plenary Lecture:(Analysis)
**Walter Craig**(Brown University) - 2:10-2:40 Natalya Chekhova, IML, Marseille

"Covering numbers for rotations and interval exchanges" - 2:45-3:15 Sebastian Ferrando, Ryerson Polytechnic
University

"Upcrossings and Oscillations for Ergodic Theorems" - 3:15-3:30 coffee break
- 3:30-4:00 Toshihiro Hamachi, Kyushu Univ

"Homomorphisms of noncommutative Bernoulli schemes" - 4:05-4:35 Ayse Sahin, North Dakota State University

"The Krieger Representation Theorem for Z^d Shifts of Finite Type" - 4:40-5:10 Karma Dajani (Utrecht University)

"Random entropy of random group actions and recurrence of cocycles"

**Wednesday:**

- 8:00-8:30 Radhakrishnan Nair, University of Liverpool

"Square functions for subsequence ergodic averages" - 8:35-9:05 Mahbubur Rahman, Concordia
University

"Speed of convergence in the Central Limit Theorem" - 9:15-10:15 Andres del Junco, University of Toronto

"Higher order independence, higher order mixing and the semigroup of joinings" - 10:30-11:30 Plenary Lecture:
**Burgess Davis**(Purdue University)

" Random walk and Brownian motion perturbed at extrema" - LUNCH
- 1:00- 2:00 Plenary Lecture:
**Walter Strauss** - 2:10-2:40 Kyewon Park, Ajou University

"Directional entropy for Z^2 -actions on a Lebesgue space" - 2:45-3:15 Sebastien Ferenczi, IML, Marseille

"Complexity of dynamical systems" - 3:15 PICNIC

**Thursday:**

- 9:15-10:15 Andres del Junco, University of Toronto

"Gaussian systems" - 10:30-11:30 Plenary Lecture:
**Bertram Kostant**(M.I.T.)

"Toda latice and quantum cohomology of the flag manifold" - LUNCH
- 1:00-2:00 Plenary Lecture:
**Roger L. Jones**(DePaul University)

"Oscillation inequalities in ergodic theory" - 2:10-2:40 Tom Ward, University of East Anglia

"Dynamical systems attached to S-integers: typical behavior" - 2:45-3:15 Martin Hildebrand, University at Albany, SUNY

"Preliminary results on a directional version of the Metropolis algorithm" - 3:15-3:30 coffee break
- 3:30-4:00 Gary Morris, University East Anglia

"Expansive group actions on the circle" - 4:05-4:35 Isaac Kornfeld, North Dakota State
University

"Some questions on measurable cocycles for measure preserving and nonsingular actions" - 4:40-5:10 Stanley Eigen, Northeastern University
- 6:00 BANQUET

**Friday:**

- 9:15-10:15 Roger Jones, DePaul University

"Convergence of convolution powers" - 10:30-11:00 Jal Choksi, McGill University
- 11:05-11:35 Nat Friedman, University at Albany, SUNY

"Mixing sequences and rigid sequences" - LUNCH
- 1:00-2:00 Plenary Lecture:
**Roger Howe**(Yale University)

"K-type structure of principal series representations,some examples" - 2:10-2:40 Idris Assani, University of North Carolina
- 2:45-3:15 Jim Olsen, North Dakota State University

"Generalizations of Bourgain's Return Times Theorem" - 3:15-3:30 coffee break
- 3:35-4:05 Raj Prasad, University of Lowell

All the lecture halls have a blackboard and an overhead projector. There will be additional open classrooms which can be used to discuss mathematics. These classrooms will also be open during Saturday.