Probability Seminar 2006

Edge reinforced random walk is a process where the probability to move along an edge is proportional to a function, called the weight function, of the number of visits to that edge. It was recently established (by V. Limic and P. Tarres) that the walk is attracted to an edge with probability 1, under fairly general assumptions on the weight function. We obtain further information on the time of appearance of the attracting edge. This is work in progress, jointly with Vlada Limic.