Matteo D’Achille

activity

20172026

most citedRandom Euclidean matching problems in one dimension

12 citations · 49 across the 10 of their papers we have counts for

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math.PR2026

Face volume densities of positive-intensity and ideal Poisson--Voronoi tessellations in hyperbolic spaces

Matteo D'Achille, Christoph Thäle

We determine analytically for all $k \in {0, 1, \dots, d - 1}$ the $k$ -volume densities of a Poisson--Voronoi tessellation of intensity $λ > 0$ in the $d$ -dimensional hyperbolic space of…

math.PR2025

Extremal Ising Gibbs States on Lobachevsky lattices

Matteo D'Achille, Loren Coquille, Arnaud Le Ny

We exhibit an uncountable family of extremal inhomogeneous Gibbs measures of the low temperature Ising model on regular tilings of the hyperbolic plane. These states arise as low t…