• Corpus ID: 119287396

Martingale-driven approximations of singular stochastic PDEs

  title={Martingale-driven approximations of singular stochastic PDEs},
  author={Konstantin Matetski},
  journal={arXiv: Probability},
  • K. Matetski
  • Published 28 August 2018
  • Mathematics, Computer Science
  • arXiv: Probability
We define multiple stochastic integrals with respect to c\`{a}dl\`{a}g martingales and prove moment bounds and chaos expansions, which allow to work with them in a way similar to Wiener stochastic integrals. In combination with the discretization framework of Erhard and Hairer (2017), our results give a tool for proving convergence of interacting particle systems to stochastic PDEs using regularity structures. As examples, we prove convergence of martingale-driven discretizations of the $3… 
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