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FKG Inequality for Brownian Motion and Stochastic Differential Equations

FKG Inequality for Brownian Motion and Stochastic Differential Equations

The purpose of this work is to study some possible application of FKG inequality to the Brownian motion and to Stochastic Differential Equations. We introduce a special ordering on the Wiener space and prove the FKG inequality with respect to this ordering. Then we apply this result on the solutions …