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We study a free energy computation procedure, introduced in
[Darve and Pohorille,
(2001) 9169–9183; Hénin and Chipot,
(2004) 2904–2914], which relies on the long-time
behavior of a nonlinear stochastic
differential equation. This nonlinearity comes from a conditional
expectation computed with respect to one coordinate of the solution. The long-time convergence of the solutions to
this equation has been proved
in [Lelièvre ,
(2008) 1155–1181],...
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