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Textbook recommendation

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Are there any good books on the connection between probability theory and PDEs?

In almost every textbook on probability I read, they state with some kind of random process (Markov Chain, n-dimensional random walk, Brownian motion) that it is also the solution to some PDE or something. Now I really want to know more about how these two fields tie in together. Does anyone have recommendations?
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>>8958712
http://4chan-science.wikia.com/wiki/Mathematics#Stochastic_Calculus
>>
>>8958790
>http://4chan-science.wikia.com/wiki/Mathematics#Stochastic_Calculus
Oh cock the book on diffusion is by my favorite author David Williams. Gonna cop that one.
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