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math.PR2024
Ideal Poisson--Voronoi tessellations beyond hyperbolic spaces
Matteo D'Achille
We construct and study the ideal Poisson--Voronoi tessellation of the product of two hyperbolic planes endowed with the norm. We prove…
math.PR2024
Local limit of massive spanning forests on the complete graph
Matteo D'Achille, Nathanaël Enriquez, Paul Melotti
We identify the local limit of massive spanning forests on the complete graph. This generalizes a well-known theorem of Grimmett on the local limit of uniform spanning trees on the…