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Ideal Poisson--Voronoi tessellations for Finsler metrics on symmetric spaces
Colin Davalo, J. Maxwell Riestenberg, Anna Wienhard
Ideal Poisson--Voronoi tessellations are random tessellations that arise as limits of Voronoi diagrams for Poisson point processes as their intensity tends to zero. For the Riemann…
On Einstein Structures for -Surface Group Representations
Colin Davalo, Parker Evans
Let be a closed surface of genus . We study the cocompact domain of discontinuity in the Einstein universe defined by Guichard-Wienhard a…
Geometric structures for maximal representations and pencils
Colin Davalo
We study fibrations of the projective model for the symmetric space associated with by codimension projective subspaces, or pencils of quadrics. In p…
Dirichlet domains for Anosov subgroups
Colin Davalo, J. Maxwell Riestenberg
We introduce a sufficient condition for a finitely generated subgroup of a semisimple Lie group to admit finite-sided Dirichlet domains for polyhedral Finsler metrics on th…