2 papers
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.PR2021
Extreme local extrema of the sine-Gordon field
Michael Hofstetter
We prove that for the local extremal process of the massive sine-Gordon field on the unit torus in converges to a Poisson point process with random intensity measure $…