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May 10, 2010 at 20:11 comment added Alekk Ethier and Kurtz would be perfect if I was working in R^d, but I am actually working with Hilbert space valued Markov chains. The whole story should not change much, but I do not know the proof of E&K enough (based on generators of diffusion etc..) to see if this is a straightforward generalization or not. By the way, if there is a good reference for SPDE approximations of Markov chains, that would be very helpful. Thank you.
May 10, 2010 at 18:33 history answered Yuri Bakhtin CC BY-SA 2.5