Geodesic
Asymptotics of disordering in the discrete approximation of an Arratia flow
Teoriâ slučajnyh processov, Tome 18 (2012) no. 2, pp. 8-14.

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We propose an approach to study the geometrical properties of stochastic flows with coalescence. We consider the discrete time approximation of a stochastic flow. In contrast to flows with continuous time, the ordering of particles in the discrete-time flows does not hold. The disordering in the approximation scheme can be considered as geometrical properties of a stochastic flow. We establish the rate of decrease to zero of the time which two particles spend in the opposite order.
Keywords: Stochastic flow, numerical approximation. 
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E. V. Glinyanaya. Asymptotics of disordering in the discrete approximation of an Arratia flow. Teoriâ slučajnyh processov, Tome 18 (2012) no. 2, pp. 8-14. http://geodesic.mathdoc.fr/item/THSP_2012_18_2_a1/

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