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math.PR2021★ 4 cited
Large deviations analysis for random combinatorial partitions with counter terms
Stefan Adams, Matthew Dickson
In this paper, we study various models for random combinatorial partitions using large deviation analysis for diverging scale of the reference process. Scaling limits of similar mo…
math.PR2021
Phase transition for Gibbs Delaunay Tessellations with geometric hardcore conditions
Stefan Adams, Shannon Horrigan
In this paper, we prove the existence of infinite Gibbs Delaunay Potts tessellations for marked particle configurations. The particle systems has two types of interaction, a so-cal…