Erik Bates

Department of Mathematics

North Carolina State University

Title: The Busemann process of (1+1)-dimensional directed polymers

Abstract: Directed polymers are a statistical mechanics model for random growth.  Their partition functions are solutions to a discrete stochastic heat equation.  This talk will discuss the logarithmic derivatives of the partition functions, which are solutions to a discrete stochastic Burgers equation.  Of interest is the success or failure of the  “one force-one solution principle” for this equation.  I will reframe this question in the language of polymers, and share some surprising results that follow.  Based on joint work with Louis Fan and Timo Seppäläinen.

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