EVENT DETAILS AND ABSTRACT

Title: Exactly Solvable Lattice Directed Polymer Models
Speaker: Hans Chaumont
Speaker Info: University of Wisconsin - Madison
Brief Description:
Special Note:
Abstract:

The directed polymer in a random environment is a statistical mechanical model for a long chain of molecules interacting with impurities in its environment. In this talk I'll discuss some joint work with Christian Noack about the four known exactly solvable lattice directed polymer models: the log-gamma, strict-weak, beta, and inverse-beta polymers. We've developed a framework for treating the four models simultaneously to prove the expected fluctuation exponents for the polymer free energy and path fluctuations. I'll also present a result characterizing lattice models which exhibit the so-called Burke-type stationarity property.