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Stochastic ordinary and partial differential equations generalize the concepts of ordinary and partial differential equations to the setting where the unknown is a stochastic process.

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Autocorrelation function of Itô process

I'm working with a time independent (vector) Itô SDE such as: $$ dX = a(X) dt + b(X) dW. $$ I've looked (numerically) at several examples and it seems that the autocovariance function $r_{xx}(\Delta t …
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