Statistical Mechanics as a Branch of Probability Theory

Conference dedicated to the memory of Roland L. Dobrushin

Organizing Committee: R. Kotecky, E-Mail: kotecky@cucc.ruk.cuni.cz
J. Lebowitz
S. Shlosman, E-Mail: shlosman@math.uci.edu
Ya. Sinai
W. Thirring

Time: September 16 - September 20, 1996

The topics of the conference are those in which Roland Dobrushin was interested and to which he contributed. They include the following:

Program of the Conference:

Monday, September 16

9.30-10.00: Opening: Walter Thirring, Robert Minlos

10.00-11.00: Raghu Varadhan: On the diffusive behavior of a tagged particle in the asymmetric simple exclusion models

11.30-13.15: Konstantin Khanin: Ground States for Random Burgers Equation
Peter Major: Existence and non-existence of phase transition in Dyson hierarchical model with continuous symmetry
Alessandro Pellegrinotti: Random walk in random environment

15.00-16.00: Leonid Bunimovich: Transport Coefficients from Dynamics

16.30-18.15: Henk van Beijeren: Dynamical properties of disordered billiards
Jozsef Fritz: Ergodicity of infinite Hamiltonian systems with weak noise
Yury Suhov: Polygonal billiards with point obstacles

Tuesday, September 17

9.30-10.30: Arthur Jaffe: Hidden Symmetry

11.00-12.45: Boguslaw Zegarlinski: Coercive Inequalities for Kawasaki dynamics
Nobuo Yoshida: Relaxed criteria of Dobrushin-Shlosman mixing condition
Enzo Olivieri: Renormalization-group at criticality and Dobrushin-Shlosman conditions

14.30-15.30: Frank den Hollander: Localization transition for a polymer near an interface

16.00-17.45: Salvador Miracle-Sole: Statistical mechanics of interface models
Charles Pfister: Wetting Phenomenon in the 2D Ising Model
Milos Zahradnik: A remark on the shape of the three dimensional Ising contours

Wednesday, September 18

9.30-10.30: Geoffrey Grimmett: Exponential decay for Potts and random-cluster models

11.00-13.15: Hans-Otto Georgii: Phase Transition for Continuum Potts Models
Aernout van Enter: Robustness of the non-Gibbsian property
Eugene Pechersky: On applications of Gibbs fields in image processing
Raphael Lefevere: Gibbs description of some non-Gibbs fields

Thursday, September 19

9.30-10.30: Herbert Spohn: Stochastic particle systems (the one-dimensional asymmetric exclusion process)

11.00-12.45: Carlo Boldrighini: Navier-Stokes corrections for one-dimensional hard rods
Alain Messager: On the rigidity of the 1-1-1 interface in the Falicov-Kimball model
Wolfgang Spitzer: On hydrodynamics of quantum hard rods

14.30-15.30: Abel Klein: Taming Griffith's singularities for random Ising model

16.00-17.30: Christian Maes: Relaxation to equilibrium for glassy dynamics in the Griffiths' regime
Fabio Martinelli: Relaxation of 2D disordered magnets in the Griffiths phase

Friday, September 20

9.30-10.30: Anatoly Vershik: Limit shapes in algebra & geometry and large deviations

11.00-12.00: Lincoln Chayes: Graphical representation

12.00-13.10: Boris Gurevich: Thermodynamic formalism in the theory of infinite nonnegative matrices
Ostap Hryniv: Fluctuations of the phase boundary in the two-dimensional Ising model

14.30-15.30: Robert Minlos: Absence of phase transitions in quantum anharmonic crystal with light particles

16.00-17.45: Anton Bovier: Rigorous results in the replica symmetric phase of the Hopfield model
Valentin Zagrebnov: Quantum Fluctuations Can Suppress Structural Phase Transition
Walter Thirring: Spontaneously broken symmetries