Thomas Spencer (IAS Princeton)
Edge reinforced random walk as a toy model of localization
Abstract:
I will present some results and conjectures about edge
reinforced random walk (ERRW). This is a history dependent walk which
favors edges it has visited in the past. In three dimensions the walk
has a phase transition as the reinforcement is varied. The relation of
ERRW to a toy model of quantum localization will also be discussed.