LA Probability Forum

The log-gamma polymer is an exactly solvable model for a directed polymer on the Z^2 lattice introduced by Timo Seppalainen in 2012. In its simplest form the model depends on a single positive parameter θ, which governs the background noise of the model. In this talk I will discuss a natural polymer measure on the set of directed lattice path, contained in a large square domain of size N. I will show that for large N the behavior of a typical path undergoes a phase transition, which depends on the value of θ. The talk is based on joint work with Guillaume Barraquand and Ivan Corwin.