Polymers and stochastic heat equations on graphs

Ofer Zeitouni
Weizmann Institute of Science

The study of Polymers in $Z^d$ leads to the study of the stochastic heat equation with multiplicative noise, and that one in turn relates to the KPZ equation via a logarithmic Hopf-Cole transformation. I will describe some recent results in which $Z^d$ is replaced by other infinite graphs, both regular and disordered. Joint work with Clement Cosco and Inbar Seroussi.

Presentation (PDF File)

Back to Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs