9 citations · 10 across the 4 of their papers we have counts for
4 papers
Decay of correlations in the monomer-dimer model
Alexandra Quitmann
We consider the monomer-dimer model, whose realisations are spanning sub-graphs of a given graph such that every vertex has degree zero or one. The measure depends on a parameter,…
Coexistence, enhancements and short loops in random walk loop soups
Nicolas Forien, Matteo Quattropani, Alexandra Quitmann +1
We consider a general random walk loop soup which includes, or is related to, several models of interest, such as the Spin O(N) model, the double dimer model and the Bose gas. The…
Macroscopic loops in the double-dimer model
Alexandra Quitmann, Lorenzo Taggi
The double dimer model is defined as the superposition of two independent uniformly distributed dimer covers of a graph. Its configurations can be viewed as disjoint collections of…
Macroscopic loops in the Bose gas, Spin O(N) and related models
Alexandra Quitmann, Lorenzo Taggi
We consider a general system of interacting random loops which includes several models of interest, such as the Spin O(N) model, random lattice permutations, a version of the inter…