ORCID: https://orcid.org/0000-0002-6374-7983
(Juni 2025):
Mean-field stochastic differential equations driven by G-Brownian motion.
In: Probability, Uncertainty and Quantitative Risk, Bd. 10, Nr. 2: S. 241-264
Abstract
This paper introduces a novel formulation of mean-field stochastic differential equations driven by G-Brownian motion. The proposed formulation generalises existing approaches within the G-framework and enables the study of Fréchet differentiability. Under non-Lipschitz conditions on the coefficients, we establish the existence and uniqueness of a solution for square-integrable stochastic initial data.
Dokumententyp: | Zeitungsartikel |
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Fakultät: | Mathematik, Informatik und Statistik > Mathematik > Finanz- und Versicherungsmathematik |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
ISSN: | 2095-9672 |
Sprache: | Englisch |
Dokumenten ID: | 120024 |
Datum der Veröffentlichung auf Open Access LMU: | 10. Sep. 2024 05:58 |
Letzte Änderungen: | 15. Jul. 2025 08:54 |