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math.PR2026
A simple proof of rapid mixing on random regular graphs beyond uniqueness
Andreas Göbel, Matthew Jenssen, Marcus Michelen +3
A recent breakthrough of Chen, Chen, Chen, Yin, and Zhang shows rapid mixing for Glauber dynamics for the hard-core model on random regular graphs beyond the tree uniqueness thresh…
math.PR2022★ 5 cited
Strong spatial mixing for repulsive point processes
Marcus Michelen, Will Perkins
We prove that a Gibbs point process interacting via a finite-range, repulsive potential exhibits a strong spatial mixing property for activities , where is the…
math.PR2021★ 1 cited
Potential-weighted connective constants and uniqueness of Gibbs measures
Marcus Michelen, Will Perkins
We define a potential-weighted connective constant that measures the effective strength of a repulsive pair potential of a Gibbs point process modulated by the geometry of the unde…