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20092023
most citedThe dynamic model comes down from infinity

108 citations · 614 across the 35 of their papers we have counts for

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Showing 2016 · math.PRShow all

7 papers · 2 filters

math.PR2016★ 4 cited

Gaussian Approximations for Probability Measures on

Yulong Lu, Andrew M. Stuart, Hendrik Weber

This paper concerns the approximation of probability measures on with respect to the Kullback-Leibler divergence. Given an admissible target measure, we show the exi…

math.PR2016★ 9 cited

Construction of diagrams for pedestrians

Jean-Christophe Mourrat, Hendrik Weber, Weijun Xu

We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical model. The construction…

math.PR2016★ 1 cited

Spectral Gap for the Stochastic Quantization Equation on the 2-dimensional Torus

Pavlos Tsatsoulis, Hendrik Weber

We study the long time behavior of the stochastic quantization equation. Extending recent results by Mourrat and Weber we first establish a strong non-linear dissipative bound that…

math.PR2016★ 4 cited

Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits

Hao Shen, Hendrik Weber

We study the Glauber dynamics of a two dimensional Blume-Capel model (or dilute Ising model) with Kac potential parametrized by - the "inverse temperature" and the "chemica…

math.PR2016★ 1 cited

Gaussian approximations for transition paths in Brownian dynamics

Yulong Lu, Andrew M. Stuart, Hendrik Weber

This paper is concerned with transition paths within the framework of the overdamped Langevin dynamics model of chemical reactions. We aim to give an efficient description of typic…

math.PR2016★ 26 cited

An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two

Nils Berglund, Giacomo Di Gesù, Hendrik Weber

We study spectral Galerkin approximations of an Allen--Cahn equation over the two-dimensional torus perturbed by weak space-time white noise of strength . We in…