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cs.DS2026
Sampling Sphere Packings with Continuum Glauber Dynamics
Aiya Kuchukova, Santosh S. Vempala, Daniel J. Zhang
Continuum Glauber dynamics is a spatial birth-death process whose stationary distribution is a Gibbs distribution. We establish a spectral gap for Continuum Glauber dynamics applie…
cs.DS2024
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded-Degree Graphs
Aiya Kuchukova, Marcus Pappik, Will Perkins +1
We study the worst-case mixing time of the global Kawasaki dynamics for the fixed-magnetization Ising model on the class of graphs of maximum degree . Proving a conjecture of Ca…