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- W2009597813 abstract "We study homogeneous stochastic flows, families X st , 0 ⩽ s ⩽ t < ∞ of random mappings of R 1 into itself, with the composition property X tu ∘ X st = X su , s ⩽ t ⩽ u , and with independent ‘increments’. Depending on the differentiability at 0 of the covariance function of the field of small displacements, the mapping X st , s and t fixed, may be smooth or may be a step function mapping R 1 into a countable set of points with no limit points. (The latter kind of situation has occurred in related work of R. Arratia.) It is not known whether other behavior is possible. Some results in the countable-range case are deduced from duality results obtained for the smooth case. The case of double exponential correlation leads to a moving point process with certain spatial Markovian properties." @default.
- W2009597813 created "2016-06-24" @default.
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- W2009597813 date "1984-07-01" @default.
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- W2009597813 title "Coalescing and noncoalescing stochastic flows in R1" @default.
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- W2009597813 doi "https://doi.org/10.1016/0304-4149(84)90001-2" @default.
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