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math.PR2021★ 2 cited
Stochastic integration with respect to local time of the Brownian sheet and regularising properties of Brownian sheet paths
Antoine-Marie Bogso, Moustapha Dieye, Olivier Menoukeu Pamen
In this work, we generalise the stochastic local time space integration introduced in \cite{Ei00} to the case of Brownian sheet. %We develop a stochastic local time-space calculus…
math.PR2021★ 4 cited
Path-by-path uniqueness of multidimensional SDE's on the plane with nondecreasing coefficients
Antoine-Marie Bogso, Moustapha Dieye, Olivier Menoukeu-Pamen
In this paper we study path-by-path uniqueness for multidimensional stochastic differential equations driven by the Brownian sheet. We assume that the drift coefficient is unbounde…