The low-intensity Poisson-Voronoi tessellation of H2 × H2 with the L1 metric converges to an isometry-invariant ideal tessellation whose cell ends are unions of boundary circles, and equal-separation loci between corona points are unbounded almost surely.
The Low-Intensity Limit of B ernoulli-- V oronoi and P oisson-- V oronoi measures
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Ideal Poisson--Voronoi tessellations beyond hyperbolic spaces
The low-intensity Poisson-Voronoi tessellation of H2 × H2 with the L1 metric converges to an isometry-invariant ideal tessellation whose cell ends are unions of boundary circles, and equal-separation loci between corona points are unbounded almost surely.