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We study Langevin dynamics with a kinetic energy different from the standard, quadratic one in order to accelerate the sampling of Boltzmann-Gibbs distributions.
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On the functional Central Limit theorem and the law of the iterated logarithm for Markov processes
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Optimal scaling of discrete approximations to Langevin diffusions,
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J. C Mattingly, A.M. Stuart, and D.J. Higham · 2002
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A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case
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J. Dolbeault, C. Mouhot, and C. Schmeiser · 2009
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