Diffusions conditionnelles. I. Hypoellipticité partielle
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Publication:1159405
DOI10.1016/0022-1236(81)90010-0zbMath0475.60061OpenAlexW2032253981MaRDI QIDQ1159405
Jean-Michel Bismut, Dominique Michel
Publication date: 1981
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(81)90010-0
hypoellipticitymartingale problemstochastic flowsHörmander's conditionsMalliavin calculus of variations
Martingales with continuous parameter (60G44) Diffusion processes (60J60) Stochastic analysis (60Hxx)
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Cites Work
- Robust filtering for correlated multidimensional observations
- Régularité des lois conditionnelles en théorie du filtrage non-linéaire et calcul des variations stochastique
- On the gap between deterministic and stochastic ordinary differential equations
- Hypoelliptic second order differential equations
- Séminaire de probabilités. V. Université de Strasbourg
- Stochastic partial differential equations and filtering of diffusion processes
- On the integral representation of functionals of ltd processest
- [https://portal.mardi4nfdi.de/wiki/Publication:3889862 Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions]
- A generalized formula of Ito and some other properties of stochastic flows
- The Malliavin calculus and its application to second order parabolic differential equations: Part I
- Équations du filtrage non linéaire de la prédiction et du lissage
- ON CONDITIONAL DISTRIBUTIONS OF DIFFUSION PROCESSES
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