Diffusivity of a random walk on random walks. Issue 2 (16th April 2014) - Boissard, Emmanuel
Abstract We consider a random walk (Zn(1), …, Zn(K+1))∈ℤK+1 with the constraint that each coordinate of the walk is at distance one from the following one. In this paper, we show that this random walk is slowed down by a variance factor σK2=2K+2 with respect to the case of the classical simple random walk without constraint. © 2014 Wiley Periodicals, Inc. Random Struct. Alg., 47, 267–283, 2015