End point localization in log gamma polymer model

Stochastics Seminar
Thursday, March 2, 2017 - 15:05
1 hour (actually 50 minutes)
Skiles 006
Harvard University
As a general fact, directed polymers in random environment are localized in the so called strong disorder phase. In this talk, based on a joint with Francis Comets, we will consider the exactly solvable model with log gamma environment,introduced recently by Seppalainen. For the stationary model and the point to line version, the localization can be expressed as the trapping of the endpoint in a potential given by an independent random walk.