637 citations · 4.1k across the 101 of their papers we have counts for
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Boundary renormalisation of SPDEs
Máté Gerencsér, Martin Hairer
We consider the continuum parabolic Anderson model (PAM) and the dynamical equation on the -dimensional cube with boundary conditions. While the Dirichlet solution theorie…
Generating diffusions with fractional Brownian motion
Martin Hairer, Xue-Mei Li
We study fast / slow systems driven by a fractional Brownian motion with Hurst parameter . Surprisingly, the slow dynamic converges on suitable timescales t…
A scaling limit of the parabolic Anderson model with exclusion interaction
Dirk Erhard, Martin Hairer
We consider the (discrete) parabolic Anderson model , , , where the -field is -valued…
The measure has sub-Gaussian tails
Martin Hairer, Rhys Steele
We provide a very simple argument showing that the measure does have quartic exponential tails, as expected from its formal expression. This shows that the corresponding mo…
The Brownian Web as a random -tree
Giuseppe Cannizzaro, Martin Hairer
Motivated by [G. Cannizzaro, M. Hairer, Comm. Pure Applied Math., '22], we provide a construction of the Brownian Web (see [Tóth B., Werner W., Probab. Theory Related Fields, '98]…