EVENT DETAILS AND ABSTRACT

Title: Branched polymers in 2D and 3D
Speaker: Professor Richard Kenyon
Speaker Info: University of British Columbia
Brief Description:
Special Note:
Abstract:

This is joint work with Peter Winkler. A branched polymer is a connected set of unit balls with nonoverlapping interiors. In 2002, Brydges and Imbrie computed the volume of the space of branched polymers with n balls, in 2 and 3 dimensions. We give a combinatorial proof of their results, and use it to get a finer description of the space of polymers. In particular we show that the diameter of a 3D branched polymer on n disks is of order n^1/2, and give some exact simulations.