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math.PR2026
On Stopping Sets and Continuous-Time Decision Trees
Ali Khezeli
We study stopping sets and continuous-time decision trees (CTDTs) for Poisson point processes. We prove that every -continuous CTDT has an explicit exploration representation: b…
math.PR2026
Convergence towards Ideal Poisson--Voronoi tessellations with a focus on Diestel--Leader graphs
Matteo D'Achille, Ali Khezeli
We provide necessary and sufficient conditions for convergence towards a unique IPVT on any proper pointed measured metric space. The conditions are that the volume function, when…
math.PR2026
Indistinguishability in One-or-Two-Ended Forests on Unimodular Random Graphs
Francois Baccelli, Ali Khezeli
Indistinguishability is a form of ergodicity, introduced by Lyons and Schramm for percolation clusters, that has become a fundamental notion in the theory of random infinite graphs…