Antal Jarai (Bath)

Random walk transition probabilities on Cayley graphs

vendredi 29 janvier 2010, 14h30 - 15h30

Salle de réunion, espace Turing

The classical local Central Limit Theorem gives the precise
asymptotics, under general conditions, of the transition probabilities for a
random walk on Z^d. This can be used to estimate important quantities such
as the Green function. We will survey some extensions to random walks on
Cayley graphs of discrete groups.