Ergodic Geometry in the product of Hadamard spaces

Jeudi 23 octobre 2008 14:00-15:00 - Link Gabriele - ETH et IHES

Résumé : Let $\Gamma$ be a discrete group acting by isometries on a product
$X=X_1\times X_2$ of Hadamard spaces. We further require that $X_1$, $X_2$ are locally compact and geodesically complete, and $\Gamma$
contains an element projecting to a rank one isometry in each factor.
Main examples of such groups are Kac-Moody groups over finite fields and arbitrary discrete groups acting by isometries on a product of CAT$(-1)$-spaces. In this talk I will discuss ergodic properties of
$\Gamma$ such as minimality of an appropriate limit set and the correlation of the distances of orbit points to the origin when projected to each factor.

Lieu : bât. 425 - 121-123

Ergodic Geometry in the product of Hadamard spaces  Version PDF