6 citations · 20 across the 7 of their papers we have counts for
6 papers · 1 filter
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…
Critical Exponents for Marked Random Connection Models
Alejandro Caicedo, Matthew Dickson
Here we prove critical exponents for Random Connections Models (RCMs) with random marks. The vertices are given by a marked Poisson point process on and an edge exis…
The Triangle Condition for the Marked Random Connection Model
Matthew Dickson, Markus Heydenreich
We investigate a spatial random graph model whose vertices are given as a marked Poisson process on . Edges are inserted between any pair of points independently with…
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…
Formation of infinite loops for an interacting bosonic loop soup
Matthew Dickson, Quirin Vogel
We compute the limiting measure for the Feynman loop representation of the Bose gas for a non mean-field energy. As predicted in previous works, for high densities the limiting mea…
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…