Conditions on curvature, temperature, and saddle behavior ensure polynomial mixing times for Langevin dynamics on Riemannian manifolds via a submersion relation.
Escaping time of a modified CIR process
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Rapid mixing for Gibbs measures in Riemannian manifolds
Conditions on curvature, temperature, and saddle behavior ensure polynomial mixing times for Langevin dynamics on Riemannian manifolds via a submersion relation.