Hu, Ze-Chun, Ma, Zhe-Ming and Sun, Wei (2006) Formulae of Beurling-Deny and Lejan For Non-Symmetric Dirichlet Forms. Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.
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Abstract
By the classical Beurling-Deny formula, any regular symmetric Dirichlet form is decomposed into the diffusion, jumping and killing parts. Further, the diffusion part is characterized by LeJan’s formula. In this paper, both the Beurling-Deny formula and LeJan’s formula are extended to regular non-symmetric Dirichlet forms. In addition, a counterexample is presented to show the gap in the Beurling-Deny formula for non-symmetric Dirichlet forms in the existing literatures.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Monograph (Technical Report) |
| Authors: | Hu, Ze-Chun and Ma, Zhe-Ming and Sun, Wei |
| Series Name: | Department of Mathematics & Statistics. Technical Report No.2/06 |
| Corporate Authors: | Concordia University. Department of Mathematics & Statistics |
| Institution: | Concordia University |
| Date: | February 2006 |
| Keywords: | Beurling-Deny formula, LeJan’s formula, non-symmetric Dirichlet form |
| ID Code: | 6673 |
| Deposited By: | DIANE MICHAUD |
| Deposited On: | 03 Jun 2010 20:00 |
| Last Modified: | 18 Jan 2018 17:29 |
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