2 citations · 4 across the 12 of their papers we have counts for
10 papers · 1 filter
Scaling Limits of a Weakly Perturbed Random Interface Model
Patrícia Gonçalves, Martin Hairer, Maria Chiara Ricciuti
We consider a random interface model on the discrete torus with sites, obtained from the classical corner flip dynamics but with a weak global perturbation, namely an asymmetr…
A critical stochastic heat equation with long-range noise
Alexander Dunlap, Martin Hairer, Xue-Mei Li
We consider a semilinear stochastic heat equation in spatial dimension at least , forced by a noise that is white in time with a covariance kernel that decays like $\lvert x\rve…
Noncommutative Regularity Structures
Ajay Chandra, Martin Hairer, Martin Peev
We extend the theory of regularity structures [Hai14] to allow processes belonging to locally -convex topological algebras. This extension includes processes in the locally $C^{…
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…
Singularity of solutions to singular SPDEs
Martin Hairer, Seiichiro Kusuoka, Hirotatsu Nagoji
Building on the notes [Hai17], we give a sufficient condition for the marginal distribution of the solution of singular SPDEs on the -dimensional torus to be singular with respe…
Scaling limit of the KPZ equation with non-integrable spatial correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large scale fluctuations of the KPZ equation in dimensions driven by Gaussian noise that is white in time Gaussian but features non-integrable spatial corre…
A scaling limit of the 2D parabolic Anderson model with exclusion interaction
Dirk Erhard, Martin Hairer, Tiecheng Xu
We consider the (discrete) parabolic Anderson model , , . Here, the -field is -valued,…
Renormalisation in the presence of variance blowup
Martin Hairer
We show that if one drives the KPZ equation by the derivative of a space-time white noise smoothened out at scale and multiplied by then, as…
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality
Martin Hairer, Rhys Steele
We provide a relatively compact proof of the BPHZ theorem for regularity structures of decorated trees in the case where the driving noise satisfies a suitable spectral gap propert…