Stationary measures and random walks on $\tilde{A}_2$-buildings
Stationary measures and random walks on $\tilde{A}_2$-buildings
Consider a non-elementary group action of a locally compact second countable group $G$ on a possibly non-discrete building $X$ of type $\tilde{A}_2$. We study $G$-equivariant measurable maps between a given $G$-boundary $(B, \nu_B)$ and the set of chambers of the spherical building at infinity. Using techniques from boundary theory, we …