4 papers
Exponential decay of transverse correlations for O(N) spin systems and related models
Benjamin Lees, Lorenzo Taggi
We prove exponential decay of transverse correlations in the Spin O(N) model for arbitrary (non-zero) values of the external magnetic field and arbitrary spin dimension N > 1. Our…
Site monotonicity and uniform positivity for interacting random walks and the spin O(N) model with arbitrary N
Benjamin Lees, Lorenzo Taggi
We provide a uniformly-positive point-wise lower bound for the two-point function of the classical spin model on the torus of , , when $N \in \mathbb…
The interchange process with reversals on the complete graph
Jakob E. Björnberg, Michał Kotowski, Benjamin Lees +1
We consider an extension of the interchange process on the complete graph, in which a fraction of the transpositions are replaced by `reversals'. The model is motivated by statisti…
Phase transition for loop representations of Quantum spin systems on trees
Volker Betz, Johannes Ehlert, Benjamin Lees
We consider a model of random loops on Galton-Watson trees with an offspring distribution with high expectation. We give the configurations a weighting of . For…