Geodesic
Duality for coalescing stochastic flows on the real line
Teoriâ slučajnyh processov, Tome 23 (2018) no. 2, pp. 55-74

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For a class of coalescing stochastic flows on the real line the existence of dual flows is proved. A stochastic flow and its dual are constructed as a forward and backward perfect cocycles over the same metric dynamical system. The metric dynamical system itself is defined on a new state space for coalescing flows. General results are applied to Arratia flows with drift.
Keywords: Stochastic flow, duality, random dynamical system, Arratia flow. 
@article{THSP_2018_23_2_a5,
     author = {G. V. Ryabov},
     title = {Duality for coalescing stochastic flows on the real line},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {55--74},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2018_23_2_a5/}
}
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G. V. Ryabov. Duality for coalescing stochastic flows on the real line. Teoriâ slučajnyh processov, Tome 23 (2018) no. 2, pp. 55-74. http://geodesic.mathdoc.fr/item/THSP_2018_23_2_a5/