Spring 2006 Workshop on Dynamical Systems and Related Topics
in honor of Yakov G. Sinai on the occasion of his 70th birthday

Schedule of Talks

All talks will be in Room 3206 of the Mathematics Department except as posted at the conference. On Friday March 17 in the same room, our department colloquium will be:

3:00-4:00        Gregory Margulis, Yale University
Closed orbits of group actions

Saturday March 18

9:00-9:35         Sergei Novikov, University of Maryland
Topology of the Hamiltonian systems/foliations on the Riemann surfaces
9:45-10:20 Konstantin Khanin, University of Toronto
Circle dynamics and rigidity
10:20-10:50 Coffee Break
10:50-11:25 Anatole Katok, Penn State University
Rigidity for higher rank actions via KAM: partially hyperbolic, elliptic, and possibly parabolic cases
11:35-12:10 Vadim Kaloshin, Caltech and Penn State University
Examples of diffusion in infinite dimensional nearly integrable Hamiltonian systems including 1-d NLS
12:10-2:00 Lunch
2:00-2:35 John Mather, Princeton University
Minimization and averaging
2:45-3:20 Leonid Koralov, Princeton University and University of Maryland
Averaging of Hamiltonian flows with an ergodic component
3:20-3:50 Coffee Break
3:50-4:25 Nikolai Chernov, University of Alabama
Slow decay of correlations in a dispersing billiard table with cusps
4:35-5:10 Leonid Bunimovich, Georgia Tech
Continued fractions and billiards
5:20-5:55 Ilya Goldsheid, University of London
Lyapunov exponents of products of random diffeomorphisms
8:00 Party at Jakobson's

Sunday March 19

9:00-9:35         Charles Fefferman, Princeton University
Whitney's extension problems
9:45-10:20 Svetlana Jitomirskaya, UC Irvine
Quasiperiodic operators with analytic potential at low coupling: sharp results
10:20-10:50 Coffee Break
10:50-11:25 Michael Aizenman, Princeton University
Persistence under weak disorder of AC spectra of quasi-periodic Schroedinger operators on trees graphs
11:35-12:10 Joel Lebowitz, Rutgers University
Microscopic dynamics and macroscopic behavior: time evolution and nonequilibrium stationary states
12:10-2:00 Lunch
2:00-2:35 Michael Goldstein, University of Toronto
Resonances and formation of the gaps in the spectrum of quasi-periodic Schrödinger equation
2:45-3:20 Susan Friedlander, University of Illinois-Chicago
The limit of vanishing viscosity for the Navier-Stokes spectrum
3:20-3:50 Coffee Break
3:50-4:25 Sergiu Klainerman, Princeton University
On a generalized Kirchoff-Sobolev parametrix and a break-down criterion in general relativity
4:35-5:10 Weinan E, Princeton University
The crystallization problem
5:20-5:55 Jonathan Mattingly, Duke University
The stochastic Navier Stokes equation: ergodicity and spectral gaps
7:30 Banquet

Monday March 20

9:00-9:35         David Ruelle, IHES
Nonequilibrium statistical mechanics of a classical infinite system of rotators
9:45-10:20 Michael Shub, University of Toronto
Entropy estimates for circle mappings
10:20-10:50 Coffee Break
10:50-11:25 Toufic Suidan, UC Santa Cruz
Random matrix central limit theorems for non-intersecting random walks
11:35-12:10 Alexander Soshnikov, UC Davis
On the distribution of the largest eigenvalues in random matrices
12:10-2:00 Lunch
2:00-2:35 Pavel Bleher, IUPUI
Critical behavior of Gaussian random matrices with external source
2:45-3:20 Yakov Pesin, Penn State University
Stable ergodicity of partially hyperbolic attractors
3:20-3:50 Coffee Break
3:50-4:25 Natasa Pavlovic, Princeton University
On periodic nonlinear Schrödinger equations
4:35-5:10 Thomas Spencer, IAS
Quantum and classical dynamics in a random environment
5:20-5:55 James Yorke, University of Maryland
The edge of chaos in a fluid flow

Tuesday March 21

9:00-9:35         Valery Oseledets, Moscow State University
Erdos measures and Markov chains
9:45-10:20 Dmitry Jakobson, McGill University
Estimates from below for the remainder in local Weyl's law
10:20-10:50 Coffee Break
Graduate students talks (parallel sessions)
10:50-11:10     Corinna Ulcigrai, Princeton University
Mixing for suspension flows over interval exchange transformations
10:50-11:10 Paul Wright, New York University
A simple piston problem
11:20-11:40 Pavel Batchourine, Princeton University
Singularity manifolds and fundamental theorem for multidimensional dispersing billiards
11:20-11:40 David McClendon, University of Maryland
Orbit discontinuities of Borel semiflows on Polish spaces
11:50-12:25 Alexander Bufetov, University of Chicago
The central limit theorem for the Teichmueller flow on the moduli space of Abelian differentials
12:25-12:55 Coffee Break
12:55-1:30 Yuri Kifer, Hebrew University
Probabilistic problems in deterministic fully coupled averaging
1:40-2:15 Sheldon Newhouse, Michigan State University
Homoclinic phenomena on surfaces