Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/small-time-asymptotics-of-diffusion-processes-l4sz09AzCi
References (37)
-
D. Robinson, Adam Sikora (2006)
Degenerate elliptic operators: capacity, flux and separationJournal of the Ramanujan Mathematical Society
-
U. Mosco (1994)
Composite media and asymptotic dirichlet formsJournal of Functional Analysis, 123
-
Yves Lejan (1978)
Mesures associées à une forme de Dirichlet. ApplicationsBulletin de la Société Mathématique de France, 106
-
R. Léandre (1987)
Majoration en temps petit de la densité d'une diffusion dégénéréeProbability Theory and Related Fields, 74
-
S. Molchanov (1975)
DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRYRussian Mathematical Surveys, 30
-
M. Hino, J. Ramírez (2003)
Small-time Gaussian behavior of symmetric diffusion semi-groupsAnnals of Probability, 31
-
(1985)
Dirichlet forms—closability and change of speed measure -
R. Léandre (1987)
Minoration en temps petit de la densité d'une diffusion dégénéréeJournal of Functional Analysis, 74
-
N. Bouleau, F. Hirsch (1991)
Dirichlet Forms and Analysis on Wiener Space -
A. Bonami, N. Karoui, B. Roynette, H. Reinhard (1971)
Processus de diffusion associé à un opérateur elliptique dégénéréAnnales De L Institut Henri Poincare-probabilites Et Statistiques, 7
-
J. Jost, W. Kendall, U. Mosco, M. Röckner, Karl-Theodor Sturm (1998)
Karl Theodore Sturm: The geometric aspect of Dirichlet forms -
S. Kusuoka, D. Stroock (1988)
Long time estimates for the heat kernel associated with a uniformly subelliptic symmetric second order operatorAnnals of Mathematics, 127
-
L. Saloff‐Coste (1992)
A note on Poincaré, Sobolev, and Harnack inequalitiesInternational Mathematics Research Notices, 1992
-
A. Elst, D. Robinson, Adam Sikora, Yue-Ping Zhu (2006)
Dirichlet Forms and Degenerate Elliptic Operators -
(2004)
Research Report CASA 04-32 -
P. Müller (1967)
T. Kato, Perturbation theory for linear operators. (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band 132) XX + 592 S. m. 3 Fig. Berlin/Heidelberg/New York Springer-Verlag. Preis geb. DM 79,20Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik, 47
-
(1981)
Séminaire de probabilités, Université de Pais VII -
L. Saloff‐Coste (2001)
Aspects of Sobolev-type inequalities -
S. Varadhan (1967)
Diffusion processes in a small time intervalCommunications on Pure and Applied Mathematics, 20
-
(2006)
Second‐order operators with degenerate coefficientsProceedings of the London Mathematical Society, 95
-
J. Roth (1976)
Formule de representation et troncature des formes de dirichlet sur ℝm -
J. Ramírez (2001)
Short-time asymptotics in Dirichlet spacesCommunications on Pure and Applied Mathematics, 54
-
M. Biroli, U. Mosco (1995)
A Saint-Venant type principle for Dirichlet forms on discontinuous mediaAnnali di Matematica Pura ed Applicata, 169
-
(1980)
Grundlehren der mathematischen Wissenschaften 132 -
J. Norris (1997)
Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifoldsActa Mathematica, 179
-
(1972)
Academic press.Analytical chemistry, 44 7
-
M. Hino (2002)
On Short Time Asymptotic Behavior of Some Symmetric Diffusions on General State SpacesPotential Analysis, 16
-
M. Reed (1972)
Methods of Modern Mathematical Physics. I: Functional Analysis -
L. Rothschild, E. Stein (1976)
Hypoelliptic differential operators and nilpotent groupsActa Mathematica, 137
-
A. Beurling, J. Deny (1958)
Espaces de dirichletActa Mathematica, 99
-
Barry Simon (1978)
A canonical decomposition for quadratic forms with applications to monotone convergence theoremsJournal of Functional Analysis, 28
-
B. Simon (1978)
Lower semicontinuhy of positive quadratic formsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 79
-
Karl-Theodor Sturm (1995)
Analysis on local Dirichlet spaces. II. Upper Gaussian estimates for the fundamental solutions of parabolic equationsOsaka Journal of Mathematics, 32
-
Y. Jan (1976)
Mesures associees a une forme de Dirichlet -
Tosio Kato (1966)
Perturbation theory for linear operators -
Zhi-Ming Ma, M. Röckner (1992)
Introduction to the theory of (non-symmetric) Dirichlet forms -
Teppei Ariyoshi, M. Hino (2005)
Small-time Asymptotic Estimates in Local Dirichlet SpacesElectronic Journal of Probability, 10
- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Birkhäuser Verlag, Basel
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-006-0247-x
- Publisher site
- See Article on Publisher Site
Abstract
We establish the short-time asymptotic behaviour of the Markovian semigroups associated with strongly local Dirichlet forms under very general hypotheses. Our results apply to a wide class of strongly elliptic, subelliptic and degenerate elliptic operators. In the degenerate case the asymptotics incorporate possible non-ergodicity.
Journal
Journal of Evolution Equations – Springer Journals
Published: Mar 1, 2007