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math.PR2026
Random walk on the small-world network model in 3 or more dimensions
Zsuzsanna Baran, Jonathan Hermon, Anđela Šarković +2
We study the mixing time of a simple random walk on the small-world network defined by adding edges to as follows: for each pair we add an edge with prob…
math.PR2026
Cutoff with an window for Potts Glauber Dynamics on lattice at High Temperature
Seoyeon Yang, Allan Sly
We prove cutoff with an window for the continuous-time heat-bath Glauber dynamics of the ferromagnetic -state Potts model on the discrete torus $Λ_n=(\mathbb Z/n\mathbb Z…