MATHEMATICAL PHYSICS SEMINAR

Department of Mathematics
Princeton University
Princeton University Department of Mathematics Seminars Spring 2011 Schedule


SPRING 2012 Lectures

Regular meeting time: Tuesdays 4:30-5:30
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.

 

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