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MR1924934 60H10 (37J99 60H35)
Talay, D. Stochastic Hamiltonian systems: exponential convergence to the invariant measure, and discretization by the implicit Euler scheme. Inhomogeneous random systems (Cergy-Pontoise, 2001). Markov Process. Related Fields 8 (2002), no. 2, 163–198.
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