Introduction to Random Walks on Noncommutative Spaces

Philippe Biane (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We introduce several examples of random walks on noncommutative spaces and study some of their probabilistic properties. We emphasize connections between classical potential theory and group representations.

Domaines: Théorie des représentations [math.RT]

Philippe Biane. Introduction to Random Walks on Noncommutative Spaces. Uwe Franz, Michael Schürmann. Quantum Potential Theory, Springer, pp.61-116, 2008, Lecture Notes in Mathematics, ⟨10.1007/978-3-540-69365-9_3⟩. ⟨hal-00786127⟩