Zero temperature limit for the Brownian directed polymer among Poissonian disasters
We consider the Brownian directed polymer in an environment of Poissonian disasters, as introduced by Comets and Yoshida. The free energy can be regarded as the decay rate of the survival probability of the Brownian motion. At positive temperature the existence of the free energy follows from standard super-additivity and concentration arguments, but due to an integrability issue this technique does not work in the zero temperature case. We show that the free energy exists and is continuous at zero temperature. This is joint work with Ryoki Fukushima (Kyoto University).
Date: Tue 19 Mar 2019
Start Time: 11:30
End Time: 12:30
861 | Electrical Eng. Building