Add to ORKGWe give a necessary and sufficient condition for a horosphere to be undistorted in an Euclidean building and in a symmetric space. We are using the geometry of Euclidean buildings and the asymptotic cone. As a consequence, a geometric proof of the Lubotzky-Mozes-Raghunathan theorem for ℚ-rank one lattices is given
We establish effective counting results for lattice points in families of domains in real, complex a...
AbstractIt is illustrated by a few mathematical results (mainly from combinatorics and discrete geom...
AbstractVoronoi defines a partition of the cone of positive semidefinite n -ary formsPn into L -type...
We study geodesically complete and locally compact Hadamard spaces X whose Tits boundary is a connec...
We give a new proof of a theorem of Kleiner-Leeb: that any quasi-isometrically embedded Euclidean sp...
We show that twin building lattices are undistorted in their ambient group; equivalently, the orbit ...
We construct a nonuniform lattice and an infinite family of uniform lattices in the automorphism gro...
We prove that the filling order is quadratic for a large class of solvable groups and asymptotically...
We show that twin building lattices are undistorted in their ambient group; equivalently, the orbit ...
Spherical and euclidean buildings have been classified by Tits and Weiss and are what is sometimes c...
Let X be a Riemannian symmetric space of non-compact type or a locally finite, strongly transitive E...
In this paper we give a combinatorial characterization of projections of geodesics in Eucli...
AbstractWe prove that the filling order is quadratic for a large class of solvable groups and asympt...
We give several characterizations of partition lattices and projective geometries. Most of these cha...
In the present article we introduce and study a class of topological reflectionspaces that we call K...
We establish effective counting results for lattice points in families of domains in real, complex a...
AbstractIt is illustrated by a few mathematical results (mainly from combinatorics and discrete geom...
AbstractVoronoi defines a partition of the cone of positive semidefinite n -ary formsPn into L -type...
We study geodesically complete and locally compact Hadamard spaces X whose Tits boundary is a connec...
We give a new proof of a theorem of Kleiner-Leeb: that any quasi-isometrically embedded Euclidean sp...
We show that twin building lattices are undistorted in their ambient group; equivalently, the orbit ...
We construct a nonuniform lattice and an infinite family of uniform lattices in the automorphism gro...
We prove that the filling order is quadratic for a large class of solvable groups and asymptotically...
We show that twin building lattices are undistorted in their ambient group; equivalently, the orbit ...
Spherical and euclidean buildings have been classified by Tits and Weiss and are what is sometimes c...
Let X be a Riemannian symmetric space of non-compact type or a locally finite, strongly transitive E...
In this paper we give a combinatorial characterization of projections of geodesics in Eucli...
AbstractWe prove that the filling order is quadratic for a large class of solvable groups and asympt...
We give several characterizations of partition lattices and projective geometries. Most of these cha...
In the present article we introduce and study a class of topological reflectionspaces that we call K...
We establish effective counting results for lattice points in families of domains in real, complex a...
AbstractIt is illustrated by a few mathematical results (mainly from combinatorics and discrete geom...
AbstractVoronoi defines a partition of the cone of positive semidefinite n -ary formsPn into L -type...