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Francois Ledrappier: Local limit theorem in negative curvature.

Tid: On 2017-11-22 kl 13.15

Plats: F11

Medverkande: Francois Ledrappier

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Abstract: We consider the universal cover of a compact Riemannian manifold with negative curvature. This is an open Riemannian manifold, the continuous analog of a regular tree with finite valence. We present properties of a number, the bottom of the spectrum of the Laplacian. It appears in the local limit theorem and as the minimal energy of equivariant families of measures on the boundary. We will discuss some of the related ideas. This is a joint work with Seonhee Lim (Seoul Nat. Univ.).

(NB: Analysis colloquium talk)