Konferenzvortragsdetails

Konferenz: Journées Cartes


Ideal Poisson-Voronoi tessellations on hyperbolic spaces

Vortrag von Dr. Meltem Unel
Datum: 12.06.23   Zeit: 17.00 - 18.00   Raum: Y27H28

In this talk, we will study the low-intensity limit of Poisson-Voronoi tessellations on hyperbolic spaces of dimension 2 and higher. Limiting object, the ideal Poisson-Voronoi tessellation, is a natural isometry-invariant, locally finite decomposition of the hyperbolic space into unbounded convex hyperbolic polytopes each with a unique end. After constructing this limiting object, we will look into some of its properties, in particular the geometric features of its cells.