9 citations · 10 across the 7 of their papers we have counts for
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Cluster formation for weakly interacting kinetic Langevin dynamics
Benedict Leimkuhler, René Lohmann, Grigorios A. Pavliotis +1
In this paper, we study the formation of clusters for stochastic interacting particle systems (IPS) that interact through short-range attractive potentials in a periodic domain. We…
Contraction Rate Estimates of Stochastic Gradient Kinetic Langevin Integrators
Benedict Leimkuhler, Daniel Paulin, Peter A. Whalley
In previous work, we introduced a method for determining convergence rates for integration methods for the kinetic Langevin equation for -Lipschitz -log-concave densi…
Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics
Benedict Leimkuhler, Daniel Paulin, Peter A. Whalley
We provide a framework to analyze the convergence of discretized kinetic Langevin dynamics for -Lipschitz, -convex potentials. Our approach gives convergence rates of…