A simple proof of a recurrence theorem for random walks in $\Z^{2}$

Jean-Marc Derrien (1)

1 LM-Brest - Laboratoire de Mathématiques

In this note, we prove without using Fourier analysis that the symmetric square integrable random walks in $\Z^{2}$ are recurrent.

Mots clés: symmetric random walks; recurrence

Domaines: Probabilités [math.PR]

Jean-Marc Derrien. A simple proof of a recurrence theorem for random walks in $\Z^{2}$. 2006. ⟨hal-00109869⟩