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Formulae of Beurling-Deny and Lejan For Non-Symmetric Dirichlet Forms


Formulae of Beurling-Deny and Lejan For Non-Symmetric Dirichlet Forms

Hu, Ze-Chun and 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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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 On:03 Jun 2010 20:00
Last Modified:08 Dec 2010 23:22
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