most citedMacroscopic loops in the Bose gas, Spin O(N) and related models

9 citations · 10 across the 4 of their papers we have counts for

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math.PR2023

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.PR2023★ 1 cited

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…

math.PR2022★ 9 cited

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…