Search Results - "Hairer, Martin"

Renormalisation of parabolic stochastic PDEs by Hairer, Martin

“…We give a survey of recent result regarding scaling limits of systems from statistical mechanics, as well as the universality of the behaviour of such systems…”
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A CLASS OF GROWTH MODELS RESCALING TO KPZ by HAIRER, MARTIN, QUASTEL, JEREMY

“…We consider a large class of $1+1$ -dimensional continuous interface growth models and we show that, in both the weakly asymmetric and the intermediate…”
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Large‐Scale Behavior of Three‐Dimensional Continuous Phase Coexistence Models by Hairer, Martin, Xu, Weijun

“…We study a class of three‐dimensional continuous phase coexistence models, and show that, under different symmetry assumptions on the potential, the…”
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LOSS OF REGULARITY FOR KOLMOGOROV EQUATIONS by Hairer, Martin, Hutzenthaler, Martin, Jentzen, Arnulf

“…The celebrated Hörmander condition is a sufficient (and nearly necessary) condition for a second-order linear Kolmogorov partial differential equation (PDE)…”
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SPECTRAL GAPS FOR A METROPOLIS–HASTINGS ALGORITHM IN INFINITE DIMENSIONS by Hairer, Martin, Stuart, Andrew M., Vollmer, Sebastian J.

“…We study the problem of sampling high and infinite dimensional target measures arising in applications such as conditioned diffusions and inverse problems. We…”
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The support of singular stochastic partial differential equations by Hairer, Martin, Schönbauer, Philipp

“…We obtain a generalisation of the Stroock–Varadhan support theorem for a large class of systems of subcritical singular stochastic partial differential…”
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SMOOTHNESS OF THE DENSITY FOR SOLUTIONS TO GAUSSIAN ROUGH DIFFERENTIAL EQUATIONS by Cass, Thomas, Hairer, Martin, Litterer, Christian, Tindel, Samy

“…We consider stochastic differential equations of the form dYt = V(Yt)dXt + V0(Yt)dt driven by a multi-dimensional Gaussian process. Under the assumption that…”
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REGULARITY OF LAWS AND ERGODICITY OF HYPOELLIPTIC SDES DRIVEN BY ROUGH PATHS by Hairer, Martin, Pillai, Natesh S.

“…We consider differential equations driven by rough paths and study the regularity of the laws and their long time behavior. In particular, we focus on the case…”
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A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs by Hairer, Martin, Mattingly, Jonathan

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WEAK ERROR ESTIMATES FOR TRAJECTORIES OF SPDEs UNDER SPECTRAL GALERKIN DISCRETIZATION by Bréhier, Charles-Edouard, Hairer, Martin, Stuart, Andrew M.

“…We consider stochastic semi-linear evolution equations which are driven by additive, spatially correlated, Wiener noise, and in particular consider problems of…”
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Approximating Rough Stochastic PDEs by Hairer, Martin, Maas, Jan, Weber, Hendrik

“…We study approximations to a class of vector‐valued equations of Burgers type driven by a multiplicative space‐time white noise. A solution theory for this…”
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Solving the KPZ equation by Hairer, Martin

“…We introduce a new concept of solution to the KPZ equation which is shown to extend the classical Cole-Hopf solution. This notion provides a factorisation of…”
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A version of Hörmander's theorem for the fractional Brownian motion by BAUDOIN, Fabrice, HAIRER, Martin

“…It is shown that the law of an SDE driven by fractional Brownian motion with Hurst parameter greater than 1/2 has a smooth density with respect to Lebesgue…”
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Triviality of the 2D stochastic Allen-Cahn equation by Hairer, Martin, Ryser, Marc, Weber, Hendrik

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A simple construction of the continuum parabolic Anderson model on $\mathbf{R}^2 by Hairer, Martin, Labbé, Cyril

“…We propose a simple construction of the solution to the continuum parabolic Anderson model on $\mathbf{R}^2$ which does not rely on any elaborate arguments and…”
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The Dynamical Sine-Gordon Model by Hairer, Martin, Shen, Hao

“…We introduce the dynamical sine-Gordon equation in two space dimensions with parameter β , which is the natural dynamic associated to the usual quantum…”
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The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality by Hairer, Martin, Steele, Rhys

“…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…”
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A CENTRAL LIMIT THEOREM FOR THE KPZ EQUATION by Hairer, Martin, Shen, Hao

“…We consider the KPZ equation in one space dimension driven by a stationary centred space–time random field, which is sufficiently integrable and mixing, but…”
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Exponential ergodicity for Markov processes with random switching by CLOEZ, BERTRAND, HAIRER, MARTIN

“…We study a Markov process with two components: the first component evolves according to one of finitely many underlying Markovian dynamics, with a choice of…”
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The Φ34 Measure Has Sub-Gaussian Tails by Hairer, Martin, Steele, Rhys

“…We provide a very simple argument showing that the Φ 3 4 measure does have quartic exponential tails, as expected from its formal expression. This shows that…”
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