14 citations · 17 across the 6 of their papers we have counts for
6 papers
Uniqueness of supercritical Gaussian multiplicative chaos
Federico Bertacco, Martin Hairer
We show that, for general convolution approximations to a large class of log-correlated Gaussian fields, the properly normalised supercritical Gaussian multiplicative chaos measure…
How does the supercritical GMC converge?
Federico Bertacco, Martin Hairer
In the spirit of [M. Biskup & O. Louidor, Adv. Math. 330 (2018)], we study the local structure of -scale invariant fields -- a class of log-correlated Gaussian fields -- aro…
Weak uniqueness by noise for singular stochastic PDEs
Federico Bertacco, Carlo Orrieri, Luca Scarpa
We prove weak uniqueness of mild solutions for general classes of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no Höl…
Multifractal analysis of Gaussian multiplicative chaos and applications
Federico Bertacco
Let be a subcritical Gaussian multiplicative chaos measure associated with a general log-correlated Gaussian field defined on a bounded domain , $d \g…
Random separation property for stochastic Allen-Cahn-type equations
Federico Bertacco, Carlo Orrieri, Luca Scarpa
We study a large class of stochastic -Laplace Allen-Cahn equations with singular potential. Under suitable assumptions on the (multiplicative-type) noise we first prove existenc…
Stochastic Allen-Cahn Equation with Logarithmic Potential
Federico Bertacco
We prove existence and uniqueness of a solution for the stochastic Allen-Cahn equation with logarithmic potential and multiplicative Wiener noise, under homogeneous Neumann boundar…