2 citations · 4 across the 12 of their papers we have counts for
7 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…
Formation of clusters and coarsening in weakly interacting diffusions
Nicolai Gerber, Rishabh S. Gvalani, Martin Hairer +2
This paper studies the clustering behavior of weakly interacting diffusions under the influence of sufficiently localized attractive interaction potentials on the one-dimensional t…
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…
Probabilistic interpretation of quantum field theories
Martin Hairer
In this note we provide a gentle introduction to the concepts and intuition behind the recent breakthrough results on the mathematically rigorous construction of a non-trivial 2D c…