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math.PR2025
High-intensity Voronoi percolation on manifolds
Tillmann Bühler, Barbara Dembin, Ritvik Ramanan Radhakrishnan +1
We study Voronoi percolation on a large class of -dimensional Riemannian manifolds, which includes the hyperbolic spaces , . We prove that as the intensit…
math.PR2025
The supercritical phase of the model is well behaved
Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1
In this article, we analyse the model on in the supercritical regime . We consider a random cluster representation of the model, which corresponds…