On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow

U Bader, PE Caprace, J Lécureux - Journal of the American Mathematical …, 2019 - ams.org
Let $ X $ be a locally finite irreducible affine building of dimension $\geq 2$, and let
$\Gamma\leq\operatorname {Aut}(X) $ be a discrete group acting cocompactly. The goal of …

Cross ratios on boundaries of symmetric spaces and Euclidean buildings

J Beyrer - Transformation Groups, 2021 - Springer
We generalize the natural cross ratio on the ideal boundary of a rank one symmetric space,
or even CAT (− 1) space, to higher rank symmetric spaces and (nonlocally compact) …