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math.PR2026
Hydrodynamic and Dynamical Phi^4 Limits of Ising-Kac Models with Diffusion-Based Interactions on the Sierpiński Gasket
Hongyi Chen, Seoyeon Yang
We introduce a general form of Ising--Kac interactions through heat-kernel averaging, with the heat-time parameter replacing the role of the interaction range. From the viewpoint o…
math.PR2026
Information Percolation and cutoff for Potts Glauber Dynamics
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…
math.PR2021★ 2 cited
Cutoff and Dynamical Phase Transition for the General Multi-component Ising Model
Seoyeon Yang
We study the multi-component Ising model, which is also known as the block Ising model. In this model, the particles are partitioned into a fixed number of groups with a fixed prop…