Asymptotic expansion of the hypoelliptic heat kernel on the diagonal
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Publication:1112241
DOI10.5802/aif.1158zbMath0659.35024OpenAlexW2163497163MaRDI QIDQ1112241
Publication date: 1989
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_1_73_0
Analysis on real and complex Lie groups (22E30) Stochastic calculus of variations and the Malliavin calculus (60H07) Hypoelliptic equations (35H10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)
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Cites Work
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- Lectures on stochastic differential equations and Malliavin calculus
- Majoration en temps petit de la densité d'une diffusion dégénérée
- Intégration dans la fibre associée a une diffusion dégénérée. (Integration in a fiber associated to a degenerated diffusion)
- Minoration en temps petit de la densité d'une diffusion dégénérée. (Lower estimate for small times of the density of a degenerate diffusion)
- Stochastic flows and Taylor series
- Hypoelliptic differential operators and nilpotent groups
- Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
- Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus
- Methods de laplace et de la phase stationnaire sur l'espace de wiener