17 citations · 52 across the 16 of their papers we have counts for
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math.PR2020
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…
math.PR2020★ 1 cited
Essential enhancements in Abelian networks: continuity and uniform strict monotonicity
Lorenzo Taggi
We prove that in wide generality the critical curve of the activated random walk model is a continuous function of the deactivation rate, and we provide a bound on its slope which…
math.PR2020
Site-monotonicity properties for reflection positive measures with applications to quantum spin systems
Benjamin Lees, Lorenzo Taggi
We consider a general statistical mechanics model on a product of local spaces and prove that, if the corresponding measure is reflection positive, then several site-monotonicity p…