Necessary and sufficient conditions for convergence of low-intensity Poisson–Voronoi diagrams to a unique ideal tessellation, applied to symmetric spaces and Diestel–Leader graphs.
(2017).Random measures, theory and applications.Probability Theory and Stochastic Modelling77
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Auto-calibration of forecast sequences equals measure-valued martingales, enabling a statistical test for calibration of updating predictions.
Defines the L² over Wasserstein space to equip random probability measures with inherited Riemannian geometry, enabling statistical convergence results and Bayesian posterior consistency in the Wasserstein topology.
Develops clr-based local indicators of mark association for composition-valued marks in spatial point processes to detect local heterogeneity invisible to global metrics.
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Convergence towards Ideal Poisson--Voronoi tessellations with a focus on Diestel--Leader graphs
Necessary and sufficient conditions for convergence of low-intensity Poisson–Voronoi diagrams to a unique ideal tessellation, applied to symmetric spaces and Diestel–Leader graphs.
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