Perturbed KPZ equation admits unique invariant measure absolutely continuous w.r.t. Brownian bridge with finite relative entropy and L^p Radon-Nikodym derivative for small perturbations.
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The Gaussian structure of a perturbed KPZ
Perturbed KPZ equation admits unique invariant measure absolutely continuous w.r.t. Brownian bridge with finite relative entropy and L^p Radon-Nikodym derivative for small perturbations.