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20192025
most citedStochastic differential equations with respect to optional semimartingales and two reflecting regulated barriers

2 citations · 2 across the 5 of their papers we have counts for

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math.PR2025

Multidimensional McKean-Vlasov SDEs with mean reflection: well-posedness and existence of optimal control

Imane Jarni, Ayoub Laayoun, Badr Missaoui

In this work, we investigate the multidimensional Skorokhod problem for càdlàg processes, where the reflection is subject to a minimality condition depending on the law of the solu…

math.PR2025

Mean Field Games with Reflected Dynamics

Imane Jarni, Ayoub Laayoun, Badr Missaoui

This paper establishes an equilibrium existence result for a class of Mean Field Games involving Reflected Stochastic Differential Equations. The proof relies on the framework of r…

math.PR2024

Reflected Mckean-Vlasov stochastic differential equations with jumps in time-dependent domains

Imane Jarni, Badr Missaoui, Youssef Ouknine

In this paper, we investigate the deterministic multidimensional Skorokhod problem with normal reflection in a family of time-dependent convex domains that are càdlàg with respect…

math.PR2022★ 2 cited

Stochastic differential equations with respect to optional semimartingales and two reflecting regulated barriers

Astrid Hilbert, Imane Jarni, Youssef Ouknine

In this work, we introduce a new Skorokhod problem with two reflecting barriers when the trajectories of the driven process and the barriers are right and left limited. We show tha…

math.PR2019

On Skorokhod Problem with Two RCLL Reflecting Completely Separated Barriers

Rachid Belfadli, Imane Jarni, Youssef Ouknine

In this paper we deal with Skorokhod problem for right continuous left limited (rcll) barriers. We prove existence and uniqueness of the solution when the barriers are only suppose…