Geodesic
Entropy of stochastic flows
Sbornik. Mathematics, Tome 201 (2010) no. 5, pp. 645-653

Voir la notice de l'article provenant de la source Math-Net.Ru

For sets in a Hilbert space the concept of quadratic entropy is introduced. It is shown that this entropy is finite for the range of a stochastic flow of Brownian particles on $\mathbb R$. This implies, in particular, the fact that the total time of the free travel in the Arratia flow of all particles that started from a bounded interval is finite. Bibliography: 10 titles.
Keywords: stochastic flow, entropy, Brownian motion, Arratia flow. 
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     title = {Entropy of stochastic flows},
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A. A. Dorogovtsev. Entropy of stochastic flows. Sbornik. Mathematics, Tome 201 (2010) no. 5, pp. 645-653. http://geodesic.mathdoc.fr/item/SM_2010_201_5_a1/