UVictoria Probability and Dynamics Seminar: Hannah Cairns

Cooperative motion is a random walk process where the jump rate of a particle depends on the likelihood that another independent identical walker is at the same position. It was studied on the line in a paper by Addario-Berry, Cairns, Devroye, Kerriou and Mitchell and two papers by Addario-Berry, Beckman, and Lin. We find the scaling limit for lattices $Z^d, d \ge 1$ in the special case of simple symmetric walk. This is the first result in dimension greater than one.