Summary
Given a convex domain of ℝ2, we show that a.s the paths of two solutions of the Skorohod equations driven by the same Brownian motion but starting at different points do not meet at the same time.
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Cranston, M., Le Jan, Y. Noncoalescence for the Skorohod equation in a convex domain of ℝ2 . Probab. Th. Rel. Fields 87, 241–252 (1990). https://doi.org/10.1007/BF01198431
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DOI: https://doi.org/10.1007/BF01198431