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We present an improved analysis of the Euler-Maruyama discretization of the Langevin diffusion.
Integral inequalities for convex functions of operators on martingales
D. L. Burkholder, B. J. Davis, and R. F. Gundy · 1972
Earlier work this paper cites.
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L. Gross · 1975
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Diffusions hypercontractives
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Earlier work this paper cites.
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R. Holley and D. Stroock · 1987
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W. Rudin · 1991
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M. Talagrand · 1991
Earlier work this paper cites.
Numerical Solution of Stochastic Differential Equations
E. Kloeden, P. Platen · 1992
Earlier work this paper cites.
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Earlier work this paper cites.
Continuous Martingales and Brownian Motion , volume 293
D. Revuz and M. Yor · 1999
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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