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Stochastic functional differential equations on manifolds

✍ Scribed by Rémi Léandre; Salah-Eldin A. Mohammed


Publisher
Springer
Year
2001
Tongue
English
Weight
144 KB
Volume
121
Category
Article
ISSN
1432-2064

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Stochastic differential equations on pro
✍ Sergio Albeverio; Zdzisław Brzeźniak; Alexei Daletski 📂 Article 📅 2003 🏛 Elsevier Science 🌐 French ⚖ 176 KB

We study infinite systems of stochastic differential equations in spaces of loops with values in compact Riemannian manifolds. We prove existence of solutions with deterministic initial conditions and continuity of the corresponding paths.