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 …

Our first main result is that correlations between monomers in the dimer model in do not
decay to 0 when. This is the first rigorous result about correlations in the dimer model in …

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 …

In the first-quantized description of bosonic systems permutation cycles formed by the
particles play a fundamental role. In the ideal Bose gas Bose-Enstein condensation (BEC) is …

We construct an infinite volume spatial random permutation (X, σ)(X, σ), where X ⊂ R^ d X⊂
R d is locally finite and σ: X → X σ: X→ X is a permutation, associated to the formal …

We introduce a family of loop soup models on the hypercubic lattice. The models involve
links on the edges, and random pairings of the link endpoints on the sites. We conjecture …

We consider nearest neighbour spatial random permutations on \mathbbZ^d. In this case,
the energy of the system is proportional to the sum of all cycle lengths, and the system can …

In the interchange process on a graph $ G=(V, E) $, distinguished particles are placed on
the vertices of $ G $ with independent Poisson clocks on the edges. When the clock of an …

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 …

In this paper, we study various models for random combinatorial partitions using large
deviation analysis for diverging scale of the reference process. The large deviation rate …