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Stochastic partial differential equations on manifolds,I

✍ Scribed by István Gyöngy


Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
695 KB
Volume
2
Category
Article
ISSN
0926-2601

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✍ 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.