We introduce an explicit description of the measure on a bounded domain. Our starting point is the interpretation of its Laplace transform as the value function of a stochastic optimal control problem along the flow of a scale regularization parameter. Once small scale singularities have been renormalized by the standard counterterms, -convergence allows us to extend the variational characterization to the unregularized model.
"A variational method for ." Duke Math. J. 169 (17) 3339 - 3415, 15 November 2020. https://doi.org/10.1215/00127094-2020-0029