LA Probability Forum

UCLA, Talks in Math Sciences Room 6627

I will review some recent progress in the study of disordered systems, with a focus on the directed polymer model. I will first introduce the question of disorder relevance for a generic physical system (with some specific examples in mind) and then explain how finding a non-trivial disordered scaling limit is related to this question. I will then turn to the directed polymer model, which describes a polymer in a heterogeneous solvent and I will present recent results on their scaling limits and their relation to the Stochastic Heat Equation.