Projects
Current Publications

Current Publications

$\bullet$ Stefano Bruno, Benjamin Gess, and Hendrik Weber. Optimal regularity in time and space for stochastic porous medium equations. The Annals of Probability, 50(6):2288–2343, November 2022. doi:10.1214/22-aop1583.

$\bullet$ Guilherme L. Feltes and Hendrik Weber. Brownian particle in the curl of 2-d stochastic heat equations. arXiv e-prints, November 2022. arXiv:2211.02194.

$\bullet$ Trishen S. Gunaratnam, Tadahiro Oh, Nikolay Tzvetkov, and Hendrik Weber. Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions. Probab. Math. Phys., 3(2):343–379, July 2022. doi:10.2140/pmp.2022.3.343.

$\bullet$ Ajay Chandra, Trishen S. Gunaratnam, and Hendrik Weber. Phase transitions for $\phi _3^4$. Commun. Math. Phys., 392(2):691–782, June 2022. doi:10.1007/s00220-022-04353-6.

$\bullet$ Timothée Bonnefoi, Ajay Chandra, Augustin Moinat, and Hendrik Weber. A priori bounds for rough differential equations with a non-linear damping term. J. Differ. Equ., 318:58–93, May 2022. doi:10.1016/j.jde.2022.02.006.

$\bullet$ Ilya Chevyrev, Andris Gerasimovics, and Hendrik Weber. Feature engineering with regularity structures. arXiv e-prints, August 2021. arXiv:2108.05879.

$\bullet$ Felix Otto, Jonas Sauer, Scott Smith, and Hendrik Weber. A priori bounds for quasi-linear SPDEs in the full sub-critical regime. arXiv e-prints, March 2021. arXiv:2103.11039.

$\bullet$ Augustin Moinat and Hendrik Weber. Space-time localisation for the dynamic $\Phi _3^4$ model. Commun. Pure Appl. Math., 73(12):2519–2555, December 2020. doi:10.1002/cpa.21925.

$\bullet$ Ajay Chandra, Trishen S. Gunaratnam, and Hendrik Weber. Phase transitions for $\Phi _3^4$. arXiv e-prints, August 2020. arXiv:2006.15933.

$\bullet$ Pavlos Tsatsoulis and Hendrik Weber. Exponential loss of memory for the 2-dimensional Allen–Cahn equation with small noise. Probab. Theory Relat. Field, 177(1):257–322, June 2020. doi:10.1007/s00440-019-00945-x.

$\bullet$ Augustin Moinat and Hendrik Weber. Local bounds for stochastic reaction diffusion equations. Electron. J. Probab., 25(17):1–26, January 2020. doi:10.1214/19-EJP397.

$\bullet$ Danielle Hilhorst, Hiroshi Matano, Thanh Nam Nguyen, and Hendrik Weber. Generation of interface for solutions of the mass conserved Allen-Cahn equation. SIAM J. Math. Anal., 52(3):2624–2654, January 2020. doi:10.1137/18M1204747.

$\bullet$ Ajay Chandra, Augustin Moinat, and Hendrik Weber. A priori bounds for the $\Phi ^4$ equation in the full sub-critical regime. arXiv e-prints, December 2019. arXiv:1910.13854.

$\bullet$ Felix Otto and Hendrik Weber. Quasilinear SPDEs via rough paths. Arch. Ration. Mech. Anal., 232(2):873–950, May 2019. doi:10.1007/s00205-018-01335-8.

$\bullet$ Felix Otto and Hendrik Weber. Quasi-linear SPDEs in divergence form. Stoch. Partial Differ. Equ.: Anal. Comput., 7(1):64–85, March 2019. doi:10.1007/s40072-018-0122-0.

$\bullet$ Hao Shen and Hendrik Weber. Glauber dynamics of 2D Kac–Blume–Capel model and their stochastic PDE limits. J. Funct. Anal., 275(6):1321–1367, September 2018. doi:10.1016/j.jfa.2017.12.014.

$\bullet$ Pavlos Tsatsoulis and Hendrik Weber. Spectral gap for the stochastic quantization equation on the 2-dimensional torus. Ann. Henri Poincaré Ser. B, 54(3):1204–1249, August 2018. doi:10.1214/17-AIHP837.

$\bullet$ Felix Otto, Jonas Sauer, Scott Smith, and Hendrik Weber. Parabolic equations with rough coefficients and singular forcing. arXiv e-prints, March 2018. arXiv:1803.07884.

$\bullet$ Arnaud Debussche and Hendrik Weber. The Schrödinger equation with spatial white noise potential. Electron. J. Probab., 23(none):1–16, January 2018. doi:10.1214/18-EJP143.

$\bullet$ Jean-Christophe Mourrat and Hendrik Weber. The dynamic $\Phi _3^4$ model comes down from infinity. Commun. Math. Phys., 356(3):673–753, December 2017. doi:10.1007/s00220-017-2997-4.

$\bullet$ Ajay Chandra and Hendrik Weber. Stochastic PDEs, regularity structures, and interacting particle systems. Ann. Fac. Sci. Toulouse, 26(4):847–909, December 2017. doi:10.5802/afst.1555.

$\bullet$ Jean-Christophe Mourrat, Hendrik Weber, and Weijun Xu. Construction of $\Phi _3^4$ diagrams for pedestrians. In From Particle Systems to Partial Differential Equations, Springer Proceedings in Mathematics & Statistics, 1–46. November 2017. doi:10.1007/978-3-319-66839-0_1.

$\bullet$ Jean-Christophe Mourrat and Hendrik Weber. Global well-posedness of the dynamic $\Phi ^4$ model in the plane. Ann. Probab., 45(4):2398–2476, July 2017. doi:10.1214/16-AOP1116.

$\bullet$ Jean-Christophe Mourrat and Hendrik Weber. Convergence of the two-dimensional dynamic Ising-Kac model to $\Phi _2^4$. Commun. Pure Appl. Math., 70(4):717–812, April 2017. doi:10.1002/cpa.21655.

$\bullet$ Yulong Lu, Andrew Stuart, and Hendrik Weber. Gaussian approximations for transition paths in Brownian dynamics. SIAM J. Math. Anal., 49(4):3005–3047, January 2017. doi:10.1137/16M1071845.

$\bullet$ Yulong Lu, Andrew Stuart, and Hendrik Weber. Gaussian approximations for probability measures on $R^d$. SIAM/ASA J. Uncertain. Quantif., 5(1):1136–1165, January 2017. doi:10.1137/16M1105384.

$\bullet$ Nils Berglund, Giacomo Di Gesù, and Hendrik Weber. An Eyring–Kramers law for the stochastic Allen–Cahn equation in dimension two. Electron. J. Probab., 22(41):1–27, January 2017. doi:10.1214/17-EJP60.

$\bullet$ Danielle Hilhorst, Hiroshi Matano, Thanh Nam Nguyen, and Hendrik Weber. On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation. J. Dyn. Differ. Equ., 28(3):707–731, September 2016. doi:10.1007/s10884-015-9465-7.

$\bullet$ Stefan Adams, Alexander Kister, and Hendrik Weber. Sample path large deviations for Laplacian models in $(1+1)$-dimensions. Electron. J. Probab., 21(62):1–36, January 2016. doi:10.1214/16-EJP8.

$\bullet$ Martin Hairer and Hendrik Weber. Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions. Ann. Fac. Sci. Toulouse, 24(1):55–92, March 2015. doi:10.5802/afst.1442.

$\bullet$ Frank J. Pinski, Gideon Simpson, Andrew M. Stuart, and Hendrik Weber. Algorithms for Kullback-Leibler approximation of probability measures in infinite dimensions. SIAM J. Sci. Comput., 37(6):A2733–A2757, January 2015. doi:10.1137/14098171X.

$\bullet$ Frank J. Pinski, Gideon Simpson, Andrew M. Stuart, and Hendrik Weber. Kullback-Leibler approximation for probability measures on infinite dimensional spaces. SIAM J. Math. Anal., 47(6):4091–4122, January 2015. doi:10.1137/140962802.

$\bullet$ Martin Hairer, Jan Maas, and Hendrik Weber. Approximating rough stochastic PDEs. Commun. Pure Appl. Math., 67(5):776–870, May 2014. doi:10.1002/cpa.21495.

$\bullet$ Felix Otto, Hendrik Weber, and Maria Westdickenberg. Invariant measure of the stochastic Allen-Cahn equation: The regime of small noise and large system size. Electron. J. Probab., 19(23):1–76, January 2014. doi:10.1214/EJP.v19-2813.

$\bullet$ Martin Hairer and Hendrik Weber. Erratum to: Rough Burgers-like equations with multiplicative noise. Probab. Theory Relat. Fields, 157(3):1011–1013, December 2013. doi:10.1007/s00440-013-0538-4.

$\bullet$ Matthias Röger and Hendrik Weber. Tightness for a stochastic Allen–Cahn equation. Stoch. Partial Differ. Equ.: Anal. Comput., 1(1):175–203, March 2013. doi:10.1007/s40072-013-0004-4.

$\bullet$ Martin Hairer and Hendrik Weber. Rough Burgers-like equations with multiplicative noise. Probab. Theory Relat. Fields, 155(1):71–126, February 2013. doi:10.1007/s00440-011-0392-1.

$\bullet$ Martin Hairer, Marc Ryser, and Hendrik Weber. Triviality of the 2D stochastic Allen-Cahn equation. Electron. J. Probab., 17(39):1–14, January 2012. doi:10.1214/EJP.v17-1731.

$\bullet$ Hendrik Weber. On the short time asymptotic of the stochastic Allen–Cahn equation. Ann. Henri Poincaré Ser. B, 46(4):965–975, November 2010. doi:10.1214/09-AIHP333.

$\bullet$ Hendrik Weber. Sharp interface limit for invariant measures of a stochastic Allen-Cahn equation. Commun. Pure Appl. Math., 63(8):1071–1109, March 2010. doi:10.1002/cpa.20323.