4 papers · 1 filter
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…
Transverse Spheres in Flag Manifolds
Parker Evans, J. Maxwell Riestenberg
For some partial flag manifolds of semisimple real Lie groups, including many full flag manifolds, transverse circles are known to be locally maximally transverse. We complete the…
Concave Foliated Flag Structures and the Hitchin Component
Alexander Nolte, J. Maxwell Riestenberg
We give a geometric characterization of flag geometries associated to Hitchin representations in . Our characterization is based on distinguished invariant…
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…