Stochastic PDE

expositions

Björk, Tomas. “The Pedestrian’s Guide to Local Time.” arXiv:1512.08912 [math], December 30, 2015. http://arxiv.org/abs/1512.08912.
Hairer, Martin. “Regularity Structures and the Dynamical \(\Phi^4_3\) Model.” arXiv:1508.05261 [math-Ph], August 21, 2015. http://arxiv.org/abs/1508.05261.
Chandra, Ajay, and Hendrik Weber. “Stochastic PDEs, Regularity Structures, and Interacting Particle Systems.” arXiv:1508.03616 [math-Ph], August 14, 2015. http://arxiv.org/abs/1508.03616.
Gubinelli, M., and N. Perkowski. “Lectures on Singular Stochastic PDEs.” arXiv:1502.00157 [math], January 31, 2015. http://arxiv.org/abs/1502.00157.

Martin Hairer, Konstantin Matetski, Optimal rate of convergence for stochastic Burgers-type equations, arXiv:1504.05134 [math.PR], April 20 2015, http://arxiv.org/abs/1504.05134, 10.1007/s40072-015-0067-5, http://dx.doi.org/10.1007/s40072-015-0067-5, Stoch. Partial Differ. Equ. Anal. Comput. 4, no. 2, 2016
Ivan Corwin, Mihai Nica, Intermediate disorder directed polymers and the multi-layer extension of the stochastic heat equation, arXiv:1603.08168[math.PR], March 27 2016, http://arxiv.org/abs/1603.08168v1
Michael Scheutzow, Susanne Schulze, Strong completeness and semi-flows for stochastic differential equations with monotone drift, http://arxiv.org/abs/1603.06775v1
De Vecchi, Francesco C., Paola Morando, and Stefania Ugolini. “Symmetries of Stochastic Differential Equations: A Geometric Approach.” arXiv:1512.05215 [math-Ph], December 16, 2015. http://arxiv.org/abs/1512.05215.
Cannizzaro, Giuseppe, Peter K. Friz, and Paul Gassiat. “Malliavin Calculus for Regularity Structures: The Case of gPAM.” arXiv:1511.08888 [math], November 28, 2015. http://arxiv.org/abs/1511.08888.
Gubinelli, Massimiliano, and Nicolas Perkowski. “KPZ Reloaded.” arXiv:1508.03877 [math-Ph], August 16, 2015. http://arxiv.org/abs/1508.03877.
Hairer, Martin. “A Theory of Regularity Structures.” Inventiones Mathematicae 198, no. 2 (November 2014): 269–504. doi:10.1007/s00222-014-0505-4.