We study groups of isometries of packed, geodesically complete, CAT(0)-spaces for which the systole at every point is smaller than a universal constant depending only on the packing, deducing strong rigidity results. We show that if a space as above has some negative curvature behaviour then it cannot support a thin action: this generalizes the classical Margulis Lemma to a broader class of spaces
Abstract. We study proper, isometric actions of nonsolvable discrete groups Γ on the 3-dimensional M...
Abstract. On the one hand, we construct a continuous family of non-isometric proper CAT(−1) spaces o...
In [5], M. Bonk and B. Kleiner proved a rigidity theorem for expanding quasi-M"obius group actions o...
International audienceThe goal of this lecture is to describe a theorem of M. Bonk and B. Kleiner on...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
We study lattices in non-positively curved metric spaces. Borel density is established in that setti...
We prove that any group acting essentially without a fixed point at infinity on an irreducible finit...
AbstractWe study those groups that act properly discontinuously, cocompactly, and isometrically on C...
Abstract. We study lattices in non-positively curved metric spaces. Borel density is established in ...
We work with the class of groups that act properly by semisimple isometrics on complete CAT(0) space...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
Abstract The purpose of this paper is to investigate torsion-free groups which act properly and coco...
Abstract. We consider properly discontinuous, isometric, convex co-compact actions of surface groups...
We prove two versions of the marked length-spectrum rigidity conjecture for a large class of non-pos...
12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups t...
Abstract. We study proper, isometric actions of nonsolvable discrete groups Γ on the 3-dimensional M...
Abstract. On the one hand, we construct a continuous family of non-isometric proper CAT(−1) spaces o...
In [5], M. Bonk and B. Kleiner proved a rigidity theorem for expanding quasi-M"obius group actions o...
International audienceThe goal of this lecture is to describe a theorem of M. Bonk and B. Kleiner on...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
We study lattices in non-positively curved metric spaces. Borel density is established in that setti...
We prove that any group acting essentially without a fixed point at infinity on an irreducible finit...
AbstractWe study those groups that act properly discontinuously, cocompactly, and isometrically on C...
Abstract. We study lattices in non-positively curved metric spaces. Borel density is established in ...
We work with the class of groups that act properly by semisimple isometrics on complete CAT(0) space...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
Abstract The purpose of this paper is to investigate torsion-free groups which act properly and coco...
Abstract. We consider properly discontinuous, isometric, convex co-compact actions of surface groups...
We prove two versions of the marked length-spectrum rigidity conjecture for a large class of non-pos...
12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups t...
Abstract. We study proper, isometric actions of nonsolvable discrete groups Γ on the 3-dimensional M...
Abstract. On the one hand, we construct a continuous family of non-isometric proper CAT(−1) spaces o...
In [5], M. Bonk and B. Kleiner proved a rigidity theorem for expanding quasi-M"obius group actions o...