Vertex-reinforced random walk on ℤ eventually gets stuck on five points
Vertex-reinforced random walk on ℤ eventually gets stuck on five points
Vertex-reinforced random walk (VRRW), defined by Pemantle in 1988, is a random process that takes values in the vertex set of a graph G, which is more likely to visit vertices it has visited before. Pemantle and Volkov considered the case when the underlying graph is the one-dimensional integer lattice …