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Sensitivity of functionals of McKean-Vlasov SDE's with respect to the initial distribution

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arxiv 2412.15906 v2 pith:MFRNSIBE submitted 2024-12-20 math.PR

classification math.PR
keywords dimensionalfieldgradientinitialmeanrespectsensitivityadapt
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We examine the sensitivity at the origin of the distributional robust optimization problem in the context of a model generated by a mean field stochastic differential equation. We adapt the finite dimensional argument developed by Bartl, Drapeau, Obloj \& Wiesel to our framework involving the infinite dimensional gradient of the solution of the mean field SDE with respect to its initial data. We revisit the derivation of this gradient process as previously introduced by Buckdahn, Li \& Peng, and we complement the existing properties so as to satisfy the requirement of our main result.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications

    math.OC 2025-11 reject novelty 8.0 of 10

    An LQ control framework for heterogeneous mean-field SDEs with common noise, solved through a triangular system of Hilbert-space Riccati BSDEs.

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