96 citations · 228 across the 14 of their papers we have counts for
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math.PR2011★ 4 cited
Geometric Ergodicity of Two--dimensional Hamiltonian systems with a Lennard--Jones--like Repulsive Potential
Ben Cooke, David P. Herzog, Jonathan C. Mattingly +2
In this paper we establish the ergodicity of Langevin dynamics for simple two-particle system involving a Lennard-Jones type potential. To the best of our knowledge, this is the fi…
math.PR2009★ 96 cited
Conditions for rapid mixing of parallel and simulated tempering on multimodal distributions
Dawn B. Woodard, Scott C. Schmidler, Mark Huber
We give conditions under which a Markov chain constructed via parallel or simulated tempering is guaranteed to be rapidly mixing, which are applicable to a wide range of multimodal…