Título: Excited Random Walk
Autores: Benjamini, Itai; Weizmann Institute, Rehovot 76100, Israel
Wilson, David Bruce; Microsoft Research
Fecha: 2003-01-01
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article

Tema: Perturbed random walk, transience
60J10
Descripción: A random walk on $\mathbb{Z}^d$ is excited if the first time it visits a vertex there is a bias in one direction, but on subsequent visits to that vertex the walker picks a neighbor uniformly at random. We show that excited random walk on $\mathbb{Z}^d$ is transient iff $d > 1$.
Idioma: No aplica

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