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Semigroups in semisimple groups

Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics February 02, 2015 - February 06, 2015

February 05, 2015 (08:40 AM PST - 10:10 AM PST)
Speaker(s): Yves Benoist (Centre National de la Recherche Scientifique (CNRS))
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14168

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.

Supplements
23248?type=thumb Benoist Notes 299 KB application/pdf Download
Video/Audio Files

14168

H.264 Video 14168.mp4 550 MB video/mp4 rtsp://videos.msri.org/data/000/022/816/original/14168.mp4 Download
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