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Dr Hendrik Weber

   Weber photo

Hendrik Weber

Associate Professor and Royal Society University Research Fellow

Office: C2.27
Phone: +44 (0)24 7652 4651
Email: Hendrik dot Weber at warwick dot ac dot uk

 


Teaching Responsibilities 2015/16:
Term 2: MA4J0 Advanced Real Analysis

Research interest:
Stochastic Analysis, in particular Stochastic PDE


Past Teaching:

Term 2 2013/14:
MA3B8 Complex Analysis
MA911 (P2) Probability: Theory and Examples

Term 2 2012/13: MA3B8 Complex Analysis

Term 2 2011/12: TCC course on Large Deviation Theory.


Publications:

Research articles:

1.) Sharp interface limit for invariant measures of the stochastic Allen-Cahn equation, Comm. Pure Appl. Math. 63(8): 1071 - 1109, 2010. preprint

2.) On the short time asymptotic of the stochastic Allen-Cahn equation, Annales d'IHP (B) Probabilités et Statistiques, 46(4): 965-975, 2010. preprint

3.) Tightness for a stochastic Allen–Cahn equation, (with M. Röger), Stochastic Partial Differential Equations: Analysis and Computations, 1(1): 175-203, 2013. preprint

4.) Rough Burgers-like equations with multiplicative noise, (with M. Hairer), Prob. Theory and Rel. Fields 155(1-2): 71-126, 2013. preprint

Erratum: Prob. Theory and Rel. Fields 157(3-4): 1011-1013, 2013. preprint

5.) Triviality of the 2D stochastic Allen-Cahn equation, (with M. Hairer, M. D. Ryser), Electronic Journal of Probability 17(39): 1-14, 2012. preprint

6.) Approximating Rough Stochastic PDEs, (with M. Hairer, J. Maas), Comm. Pure Appl. Math, 67(5): 776–870, 2014. preprint

7.) Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size, (with F. Otto, M. Westdickenberg), Electronic Journal of Probability, 19(23): 1-76, 2013. preprint

8.) Kullback-Leibler Approximation for Probability Measures on Infinite Dimensional Spaces, (with G. Simpson, F. Pinski, A. Stuart), Siam Journal on Mathematical Analysis, (47): 4091-4122, 2015. preprint

9.) Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions, (with M. Hairer), Annales de la Faculté des Sciences de Toulouse, 24(1): 55-92, 2015. preprint

10.) Algorithms for Kullback-Leibler Approximation of Probability Measures in Infinite Dimensions, (with G. Simpson, F. Pinski, A. Stuart), to appear in Siam Journal on Scientific Computing, 2014. preprint

11.) Convergence of the two-dimensional dynamic Ising-Kac model to $\Phi_2^4$, (with J.-C. Mourrat), 2014. preprint

12.) On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation, (with D. Hilhorst, H. Matano, T.-N. Nguyen),
Journal of Dynamics and Differential Equations
, 2015. preprint

13.) Global well-posedness of the dynamic $\Phi^4$ model in the plane, (with J.-C. Mourrat), 2015. preprint

14.) Hölder regularity for a non-linear parabolic equation driven by space-time white noise, (with F. Otto), 2015. preprint

15.) Global well-posedness of the dynamic $\Phi^4_3$ model on the torus, (with J.-C.Mourrat), 2016. preprint 


Lecture Notes:

Stochastic PDEs, Regularity structures, and interacting particle systems, (with Ajay Chandra), 2015. pdf