The Poisson-Furstenberg Boundary and CAT(0) Cube Complexes

Jeudi 9 juin 2016 14:00-15:00 - Talia Fernós - Greensboro

Résumé : CAT(0) cube complexes are fascinating objects of study, thanks in part to the interplay between two metrics they naturally admit, which lead to the visual and Roller boundaries. Under standard assumptions, the Roller Boundary carries a stationary measure making it the Furstenberg-Poisson Boundary of a random walk on the acting group $G$. This generalizes previous work of Nevo-Sageev.

Notes de dernières minutes : Café culturel à 13h par J. Lécureux

The Poisson-Furstenberg Boundary and CAT(0) Cube Complexes  Version PDF