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Title:
Semigroups in semisimple groups

Speaker:
Yves Benoist

Abstract:
We will first explain three properties of a Zariski dense subsemigroups of a semisimple real Lie group: - the existence of loxodromic elements, - the convexity and non degeneracy of the limit cone, - the density of the group spanned by the Jordan projection.   We will then explain how to deduce from them three limit theorems for a random walk on this semigroup: - the law of large numbers, - the central limit theorem, - the local limit theorem.

Link:
https://www.msri.org/workshops/742/schedules/19320

Workshop:
MSRI- Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics