Publications
Preprints of my papers can be found on the arXiv.
(with B. Gess) Conservative stochastic PDEs on the whole space, arXiv:2410.00254.
(with Y. Chen and W. Xu) Periodic homogenisation for two dimensional generalised parabolic Anderson model, arXiv:2401.05718.
(with A. Clini) A central limit theorem for nonlinear conservative SPDEs, arXiv:2310.19924.
(with S. Armstrong and J. Lin) Green function and invariant measure estimates for nondivergence form elliptic homogenization, arXiv:2211.13279.
(with B. Gess and R. Gvalani) Ergodicity and random dynamical systems for conservative SPDEs, arXiv:2206.14789.
(with N. Dirr and B. Gess) Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process, arXiv:2012.02126.
Stochastic homogenization with space-time ergodic divergence-free drift, Ann. Probab., 52(1):350--380, 2024.
(with B. Gess) Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise, Arch. Ration. Mech. Anal., 248(20): 2024.
Large-scale regularity in stochastic homogenization with divergence-free drift, Ann. Appl. Probab., 33(4):2559--2599, 2023.
(with B. Gess) Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift, Invent. Math., 234:573--636, 2023.
(with B. Gess) Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise, J. Math. Pures Appl., 148(9):221--266, 2021.
(with B. Gess and A. Jentzen) Convergence rates for the stochastic gradient descent method for non-convex objective functions, J. Mach. Learn. Res., 21(136):1--48, 2020.
(with B. Gess) Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise, Arch. Ration. Mech. Anal., 233(1):249--322, 2019.
(with P. Bella and A. Chiarini) A Liouville theorem for stationary and ergodic ensembles of parabolic systems, Probab. Theory Relat. Fields, 173(3):759--812, 2019.
(with P. Bella and F. Otto) A Liouville theorem for elliptic systems with degenerate ergodic coefficients, Ann. Appl. Probab., 28(3):1379--1422, 2018.
(with P. Bella, J. Fischer and F. Otto) Stochastic homogenization of linear elliptic equations: Higher-order estimates in weak norms via second-order correctors, SIAM J. Math. Anal., 49(6):4658--4703, 2017.
On the exit time and stochastic homogenization of isotropic diffusions in large domains, Ann. Inst. H. Poincare Probab. Statist., 55(2):720--755, 2019.
Exit laws of isotropic diffusions in random environment from large domains, Electron. J. Probab., 22: 2017.
On the existence of an invariant measure for isotropic diffusions in random environment, Probab. Theory Relat. Fields, 168(1-2):409--453, 2017.
A Liouville property for isotropic diffusions in random environment, arXiv:1406.1549.
A partial homogenization result for nonconvex viscous Hamilton-Jacobi equations, arXiv:1402.5191.
Stochastic homogenization of monotone systems of viscous Hamilton-Jacobi equations with convex nonlinearities, SIAM J. Math Analysis, 45(4):2441--2476, 2012.
(with S. Devadoss, T. Heath, and A. Vashist) Moduli spaces of punctured Poincaré disks, Associahedra, Tamari Lattices, and Related Structures: Tamari Memorial Festschrift, 99--117, 2008.
(with F. Connolly and M. Hartglass) On the dimension of the virtually cyclic classifying space of a crystallographic group, arXiv:0610387.
