Mathematical Physics
Seminar

December Schedule

Organizer: Joel L. Lebowitz
lebowitz@math.rutgers.edu



PLEASE JOIN US AT 11:45AM IN ROOM 705 KITCHEN FOR COFFEE & COOKIES.

Speaker:T. Kuna, Universitaet Bielefeld/Rutgers University
Time/Place:Thursday, 12/1/05, 12-1:00PM, Room 705
Title: "Reliability of Point Processes (A Truncated Moment Problem)"
Abstract: Point processes are describing random distributions of points. Correlation functions are characteristics of these processes. They are moments w.r.t. to a class of polynomials. The question of realizability is to find criteria to single out functions which could appear as correlation functions of a point process. This is an infinite dimensional truncated moment problem. One can see it also as a first step of a more general inverse problem, i.e. to find further properties of the point process like Gibbsian structure, form of the interaction etc. The latter is part of the theory of classical fluids. The question of realizability was raised as an isolated problem in context of heterogeneous materials by S. Torquato and F. H. Stillinger. General and special necessary and general sufficient conditions are discussed. Detailed result for a one dimensional lattice case are given. An interesting question the maximal realizable density for a given pair correlation. General considerations for low densities are presented.



THERE WILL BE A BROWN BAG LUNCH BETWEEN THE TWO SEMINARS. PLEASE BRING YOUR LUNCH.


Speaker: Milton David Jara Valenzuela, IMPA, Brazil
Time/Place:Thursday, 12/1/05, 2-3:00PM, Room 705
Title: "Quenched non-equilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder"
Abstract: PLEASE CLICK HERE FOR PDF FILE OF ABSTRACT






PLEASE JOIN US AT 11:45AM IN ROOM 705 KITCHEN FOR COFFEE & COOKIES.

Speaker: B. Schlein, Harvard University
Time/Place:Thursday, 12/8/05, 12-1:00PM, Room 705
Title: " Derivation of the cubic nonlinear Schroedinger equation from many-body quantum dynamics"
Abstract: We consider a system of N bosons, interacting through a repulsive short range mean field potential. In the limit of large N, we prove that the macroscopic dynamics of the system can be described by the one-particle nonlinear Schroedinger equation. This is a joint work with L. Erdoes and H.-T. Yau.

THERE WILL BE A BROWN BAG LUNCH FROM 1:00-2:00PM. PLEASE JOIN US

Speaker:J. Kahn, Rutgers University
Time/Place:Thursday, 12/8/05, 2-3:00PM, Room 705
Title: "Some correlation inequalities"
Abstract: We show positive association (positive correlation of increasing events) for some families of random variables arising in percolation, the random cluster model and the "fractional fuzzy Potts model," and mention a few open problems.




PLEASE JOIN US AT 11:45AM IN ROOM 705 KITCHEN FOR COFFEE & COOKIES.

Speaker: O. Costin, Ohio State University
Time/Place:Thursday, 12/15/05 12-1:00PM, Room 705
Title: "Time Evolution and Ionization of Quantum Systems Under Time Periodic Forcing"
Abstract:We analyze the time evolution of one particle quantum systems with attractive binding potential, including the Coulombic one, subjected to a time periodic external field. We show that in many cases such systems, started in a bound state will get fully ionized at $t \to \infty$. This is irrespective of the magnitude or frequency of the external field. Some exceptional, non-generic systems may evolve to a localized stationary state, corresponding to eigenfunctions of the Floquet operator.

THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM. PLEASE JOIN US

Speaker: P. Contucci, University of Bologna
Time/Place:Thursday, 12/15/05 2-3:00PM, Room 705
Title: "Stochastic Stability and the Ghirlanda-Guerra identities"
Abstract:The talk will review the method of stochastic stability to obtain the factorization properties of the overlap distribution in spin glass models. In addition it will be shown a martingale bound for the energy fluctuations which, together with stochastic stability, implies the whole class of Ghirlanda-Guerra identities.