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math.AP2022
Invariance of measure under nonlinear wave and Schrödinger equations on the plane
Nikolay Barashkov, Petri Laarne
We show almost sure wellposedness of mild solution to the cubic nonlinear wave equation in a weighted Besov space over . To achieve this, we show that any weak limit o…
math.PR2022
Multiscale coupling and the maximum of models on the torus
Nikolay Barashkov, Trishen S. Gunaratnam, Michael Hofstetter
We establish a coupling between the measure and the Gaussian free field on the two-dimensional unit torus at all spatial scales, quantified by probabilistic regu…
math.PR2022★ 1 cited
A stochastic control approach to Sine Gordon EQFT
Nikolay Barashkov
We study the Sine-Gordon model for in infinite volume. We give a variatonal characterization of it's laplace transform, and deduce from this large deviations. Along th…