2 papers
math.PR2024
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,…
math.PR2024
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…