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math.PR2023
Expansion of the Critical Intensity for the Random Connection Model
Matthew Dickson, Markus Heydenreich
We derive an asymptotic expansion for the critical percolation density of the random connection model as the dimension of the encapsulating space tends to infinity. We calculate ri…
math.PR2018
Large deviation analysis for classes of interacting Bosonic cycle counts
Stefan Adams, Matthew Dickson
This paper studies probabilistic mean-field models for interacting bosons at a positive temperature in the thermodynamic limit with random particle density. In particular, we prove…