Integration of Brownian vector fields
classification
🧮 math.PR
chao-dynnlin.CD
keywords
brownianchaosdecompositiondetailexampleexhibitingfieldsflows
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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 some detail, exhibiting interesting phase transitions.
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