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math.PR2024
Hardness of sampling for the anti-ferromagnetic Ising model on random graphs
Neng Huang, Will Perkins, Aaron Potechin
We prove a hardness of sampling result for the anti-ferromagnetic Ising model on random graphs of average degree for large constant , proving that when the normalized invers…
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…