Title: Measures on graphs and a Kazhdan’s theorem
Abstract: Classical Kazhdan's theorem for Riemann surfaces describes
the limiting behavior of canonical (Arakelov) measures on finite
covers in relation to the hyperbolic measure. I will present a
generalized version of this theorem for metric graphs. In particular,
I will introduce a notion of "hyperbolic measure" in the context of
graphs.
(Joint work with Chenxi Wu.)