Strong invariance and noise-comparison principles for some parabolic stochastic PDEs ∗

@inproceedings{Joseph2015StrongIA,
  title={Strong invariance and noise-comparison principles for some parabolic stochastic PDEs ∗},
  author={Mathew Joseph},
  year={2015}
}
We consider a system of interacting diffusions on the integer lattice. By letting the mesh size go to zero and by using a suitable scaling, we show that the system converges (in a strong sense) to a solution of the stochastic heat equation on the real line. As a consequence, we obtain comparison inequalities for product moments of the stochastic heat equation with different nonlinearities. 

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