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math.PR2003★ 6 cited
The noise of a Brownian sticky flow is black
Yves Le Jan, Olivier Raimond
In this note, it is proved that the noise (in the sense of Tsirelson) generated by a Brownian sticky flow (as defined in math.PR/0211387) is black.
math.PR2002
Sticky flows on the circle
Yves Le Jan, Olivier Raimond
The purpose of this note is to give an example of stochastic flows of kernels, which naturally interpolates between the Arratia coalescing flow associated with systems of coalescin…
math.PR1999
Integration of Brownian vector fields
Yves Le Jan, Olivier Raimond
Using the Wiener chaos decomposition, we show that strong solutions of non Lipschitzian S.D.E.'s are given by random Markovian kernels. The example of Sobolev flows is studied in s…