Small-time Gaussian behavior of symmetric diffusion semi-groups

Hino, Masanori; Ramírez, José A.

Ann. Probab., Tome 31 (2003) no. 1, p. 1254-1295 / Harvested from Project Euclid

Résumé

This work is involved with the short-time asymptotics of diffusion semigroups in a general setting. A generalization of Fang's version of Varadhan's formula is proven for general Dirichlet spaces that are local and conservative. The intrinsic metric appearing in the formula is characterized by pointwise distance for canonical Dirichlet spaces on loop groups.

Publié le : 2003-07-14
Classification: Dirichlet spaces, heat kernel, short-time asymptotics, intrinsic metric, loop group., 31C25, 60J60, 47D07, 58J65

@article{1055425779,
     author = {Hino, Masanori and Ram\'\i rez, Jos\'e A.},
     title = {Small-time Gaussian behavior of symmetric diffusion semi-groups},
     journal = {Ann. Probab.},
     volume = {31},
     number = {1},
     year = {2003},
     pages = { 1254-1295},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1055425779}
}

Hino, Masanori; Ramírez, José A. Small-time Gaussian behavior of symmetric diffusion semi-groups. Ann. Probab., Tome 31 (2003) no. 1, pp.  1254-1295. http://gdmltest.u-ga.fr/item/1055425779/