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math.PR2025
Holley--Stroock uniqueness method for the dynamics
Roland Bauerschmidt, Benoit Dagallier, Hendrik Weber
The approach initiated by Holley--Stroock establishes the uniqueness of invariant measures of Glauber dynamics of lattice spin systems from a uniform log-Sobolev inequality. We use…
math.PR2025
A criterion on the free energy for log-Sobolev inequalities in mean-field particle systems
R. Bauerschmidt, T. Bodineau, B. Dagallier
For a class of mean-field particle systems, we formulate a criterion in terms of the free energy that implies uniform bounds on the log-Sobolev constant of the associated Langevin…