Low-temperature localization of directed polymers

Probability Seminar
Feb 21, 2018 3:10pm to 4:00pm
Location: 
1011 Evans Hall
Status: 
Happening As Scheduled
On the d-dimensional integer lattice, directed polymers are paths of a random walk that have been reweighted according to a random environment that refreshes at each time step. The qualitative behavior of the system is governed by a temperature parameter; if this parameter is small, the environment has little effect, meaning all possible paths are close to equally likely. If the parameter is made...
Erik Bates, Stanford University