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$\Gamma$-convergence for a class of action functionals induced by gradients of convex functions

$\Gamma$-convergence for a class of action functionals induced by gradients of convex functions

Given a real function f , the rate function for the large deviations of the diffusion process of drift \nabla f given by the Freidlin–Wentzell theorem coincides with the time integral of the energy dissipation for the gradient flow associated with f . This paper is concerned with the stability …