MATHEMATICAL PHYSICS SEMINAR
Department of Mathematics
Princeton University
Princeton University Department of Mathematics Seminars Spring 2011 Schedule
SPRING 2012 Lectures
**PLEASE NOTE SPECIAL DAY & TIME**
Regular meeting time:
Tuesdays 3:30-4:30
Place: Jadwin A06
Date | Speaker | Title |
Feb. 7, 4:30 p.m. A06 - Jadwin |
Jonathan Breuer, Hebrew University |
Nonintersecting random walkers with a staircase initial condition We study a model of one dimensional particles, performing geometrically weighted random walks that are conditioned not to intersect. The walkers start at equidistant points and end at consecutive integers. A naturally associated tiling model can be viewed as one of placing boxes on a staircase. For a particular value of the parameters we obtain a known model for the Schur measure, which has the sine kernel as a scaling limit. However, for other parameter values the process at the local scale, close to the starting points, does not fall in the universality class of the sine kernel. Instead, as the number of walkers tends to infinity we obtain a new family of kernels describing the local correlations. We shall describe these limits and some of their interesting features. This is joint work with Maurice Duits. |
Feb. 28, 3:30 p.m. |
Christian Hainzl, |
Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs We consider the low density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs. This is joint work with Robert Seiringer. |
Mar. 27, 3:30 p.m. |
Sourav Chatterjee, Courant Institute |
Invariant measures and the soliton resolution conjecture |
Thursday, Mar. 29 **, 3:00 p.m., A06 - Jadwin | Jeff Schenker, Courant Institute |
Diffusion of wave packets for the Markov Schroedinger equation The long time evolution of waves in a homogeneous random environment will be discussed. Proving that the wave amplitude evolves diffusively over any sufficiently long time scales remains an open problem. One obstacle that arises is recurrence -- return of portions of the wave packet to regions previously visited. However, if one removes recurrence by allowing the environment to evolve randomly in time, then diffusion of the wave amplitude can be proved in a relatively simple fashion. |
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For more information about this seminar, contact Princeton University Department of Mathematics Seminar