• Bruno, Stefano; Gess, Benjamin; Weber, Hendrik Optimal regularity in time and space for stochastic porous medium equations. Annals of Probability Vol. 50 (6), 2022 online
• Chandra, Ajay; Gunaratnam, Trishen S.; Weber, Hendrik Phase Transitions for ϕ^4_3. Communications in Mathematical Physics Vol. 392, 2022 online
• Chandra, Ajay; Moinat, Augustin; Weber, Hendrik A Priori Bounds for the Φ4 Equation in the Full Sub-critical Regime. Archive for Rational Mechanics and Analysis Vol. 247 (3), 2023 online
• Grazieschi, Paolo; Matetski, Konstantin; Weber, Hendrik Martingale-driven integrals and singular SPDEs. Probability Theory and Related Fields Vol. 190, 2024 online
• Hairer, Martin; Weber, Hendrik Rough Burgers-like equations with multiplicative noise. Probability Theory and Related Fields Vol. 157 (3-4), 2013 online
• Moinat, Augustin; Weber, Hendrik Space-time localisation for the dynamic Phi-4/3 model. Communications on Pure and Applied Mathematics Vol. 73 (12), 2020 online
• Mourrat, Jean-Christophe; Weber, Hendrik Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24. Communications on Pure and Applied Mathematics Vol. 70 (4), 2017 online
• Mourrat, Jean-Christophe; Weber, Hendrik Global well-posedness of the dynamic Φ4 model in the plane. Annals of Probability Vol. 45 (4), 2017 online
• Mourrat, Jean-Christophe; Weber, Hendrik The Dynamic Phi-4/3 Model Comes Down from Infinity. Communications in Mathematical Physics Vol. 356 (3), 2017 online
• Otto, Felix; Weber, Hendrik Quasilinear SPDEs via Rough Paths. Archive for Rational Mechanics and Analysis Vol. 232 (2), 2019 online
Recent Publications of Prof. Dr. Hendrik Weber
$\bullet $ Salvador Esquivel and Hendrik Weber. A priori bounds for the dynamic fractional $\phi ^4$ model on $\mathbb T^3$ in the full subcritical regime. arXiv e-prints, November 2024. arXiv:2411.16536.
$\bullet $ P. Grazieschi, K. Matetski, and H. Weber. The dynamical Ising-Kac model in 3D converges to $\phi ^4_3$. Probability Theory and Related Fields, October 2024. doi:10.1007/s00440-024-01316-x.
$\bullet $ Paolo Grazieschi, Konstantin Matetski, and Hendrik Weber. Martingale-driven integrals and singular SPDEs. Probability Theory and Related Fields, 190(3–4):1063–1120, August 2024. arXiv:2303.10245, doi:10.1007/s00440-024-01311-2.
$\bullet $ Ajay Chandra, Guilherme de Lima Feltes, and Hendrik Weber. A priori bounds for 2-d generalised parabolic Anderson model. arXiv e-prints, February 2024. arXiv:2402.05544.
$\bullet $ Ilya Chevyrev, Andris Gerasimovičs, and Hendrik Weber. Feature engineering with regularity structures. Journal of Scientific Computing, 98(1):13, January 2024. doi:10.1007/s10915-023-02401-4.
$\bullet $ Guilherme de Lima Feltes and Hendrik Weber. Brownian particle in the curl of 2-d stochastic heat equations. Journal of Statistical Physics, 191(2):16, January 2024. doi:10.1007/s10955-023-03224-1.
$\bullet $ Leonardo Tolomeo and Hendrik Weber. Phase transition for invariant measures of the focusing Schrödinger equation. arXiv e-prints, June 2023. arXiv:2306.07697.
$\bullet $ Ajay Chandra, Augustin Moinat, and Hendrik Weber. A priori bounds for the $\Phi ^4$ equation in the full sub-critical regime. Archive for Rational Mechanics and Analysis, 247(3):48, May 2023. doi:10.1007/s00205-023-01876-7.
$\bullet $ Paolo Grazieschi, Konstantin Matetski, and Hendrik Weber. The dynamical Ising-Kac model in 3D converges to $\Phi ^4_3$. arXiv e-prints, March 2023. arXiv:2303.10242.
$\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 $ Stefano Bruno, Benjamin Gess, and Hendrik Weber. Optimal regularity in time and space for stochastic porous medium equations. Ann. Probab., 50(6):2288–2343, November 2022. doi:10.1214/22-aop1583.
$\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 $ 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 $ 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.