On conservation of probability and the Feller property
Qian, Zhongmin
Ann. Probab., Tome 24 (1996) no. 2, p. 280-292 / Harvested from Project Euclid
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It is known that any smooth, nondegenerate, second-order elliptic operator on a manifold (dimension $\not= 2$) has the form $\Delta +B$, where B is a vector field and $\Delta$ is the Laplace-Beltrami operator under some Riemannian metric on the manifold. In this paper we give several conditions on the "Ricci curvature" Ric $-\nabla_B^s$ associated with the operator $\Delta + B$ to ensure that the diffusion semigroup generated by $\Delta + B$ conserves probability and possesses the Feller property.
Publié le : 1996-01-14
Classification:  Comparison theorem,  conservation,  diffusion,  Feller property,  modified Ricci curvature,  60J60,  58G32 
@article{1042644717,
     author = {Qian, Zhongmin},
     title = {On conservation of probability and the Feller property},
     journal = {Ann. Probab.},
     volume = {24},
     number = {2},
     year = {1996},
     pages = { 280-292},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1042644717}
}

Qian, Zhongmin. On conservation of probability and the Feller property. Ann. Probab., Tome 24 (1996) no. 2, pp.  280-292. http://gdmltest.u-ga.fr/item/1042644717/