Apparaît dans la collection : Combinatorics, Dynamics and Geometry on Moduli Spaces / Combinatoire, dynamique et géométrie dans les espaces de modules

A deep result of Furstenberg from 1967 states that if $\Gamma$ is a lattice in a semisimple Lie group $G$, then there exists a measure on $\Gamma$ with finite first moment such that the corresponding harmonic measure on the Furstenberg boundary is absolutely continuous. I will discuss some of the history of this result and some recent generalizations.