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We consider a multidimensional stochastic differential equation with aGaussian noise and a drift vector having a jump discontinuity along ahyperplane. The large time behavior of the distance between two solutionsstarting from different points is studied.We consider a multidimensionalstochastic differential equation with a Gaussian noise and a drift vectorhaving a jump discontinuity along a hyperplane. The large time behavior of thedistance between two solutions starting from different points is studied.

On exponential decay of a distance between solutions of an SDE with non-regular drift