Onsager–Machlup functional
= Onsager–Machlup functional
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The Onsager–Machlup functional is the action in the exponential of an additive Gaussian stochastic path probability. For $\dot x=b(x)+\sigma\Lambda$, its elementary discretization contains $\int|\dot x-b(x)|^2/(2\sigma^2)\,dt$, with convention-dependent Jacobian terms for multiplicative or state-dependent drift.