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math-ph2026
Uniqueness, analyticity and mixing for Gibbs point processes via spectral gaps
Andreas Göbel, Matthew Jenssen, Marcus Michelen +3
A Gibbs point process models particles interacting in the continuum through a potential. Among the most classical examples is the hard-sphere model, where given an activity paramet…
math-ph2025
Simple analyticity criteria for repulsive multi-body potentials
Tyler Helmuth, Marcus Pappik, Will Perkins
We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound impr…