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math.PR2026
Hydrodynamic limit for Glauber-Kawasaki dynamics on the SierpiÅski gasket
Patrick van Meurs, Kenkichi Tsunoda
We prove the hydrodynamic limit for Glauber-Kawasaki dynamics on the SierpiÅski gasket, a prototypical fractal graph that lacks translational invariance. The main novelty lies in…
math.PR2026
Non-equilibrium functional inequalities for finite Markov chains
Bastian Hilder, Patrick van Meurs, Upanshu Sharma
Functional inequalities such as the Poincaré and log-Sobolev inequalities quantify convergence to equilibrium in continuous-time Markov chains by linking generator properties to v…