Semi-Dirichlet forms and Markov processes /
Saved in:
Author / Creator: | Oshima, Yoichi. |
---|---|
Imprint: | Berlin : De Gruyter, [2013] |
Description: | 1 online resource (x, 284 pages) : illustrations |
Language: | English |
Series: | De Gruyter Studies in Mathematics De Gruyter studies in mathematics. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11192851 |
Table of Contents:
- 1 Dirichlet forms ; 1.1 Semi-Dirichlet forms and resolvents ; 1.2 Closability and regular Dirichlet forms ; 1.3 Transience and recurrence of Dirichlet forms ; 1.4 An auxiliary bilinear form ; 1.5 Examples ; 1.5.1 Diffusion case ; 1.5.2 Jump type case
- 2 Some analytic properties of Dirichlet forms ; 2.1 Capacity ; 2.2 Quasi-Continuity ; 2.3 Potential of measures ; 2.4 An orthogonal decomposition of the Dirichlet forms ; 3 Markov processes ; 3.1 Hunt processes ; 3.2 Excessive functions and negligible sets ; 3.3 Hunt processes associated with a regular Dirichlet form ; 3.4 Negligible sets for Hunt processes ; 3.5 Decompositions of Dirichlet forms
- 4 Additive functionals and smooth measures ; 4.1 Positive continuous additive functionals ; 4.2 Dual PCAFs and duality relations ; 4.3 Time changes and killings
- 5 Martingale AFs and AFs of zero energy ; 5.1 Fukushima's decomposition of AFs ; 5.1.1 AFs generated by functions of F ; 5.1.2 Martingale additive functionals of finite energy ; 5.1.3 CAFs of zero energy ; 5.2 Beurling-Deny type decomposition ; 5.3 CAFs of locally zero energy in the weak sense ; 5.4 Martingale AFs of strongly local Dirichlet forms ; 5.5 Transformations by multiplicative functionals ; 5.6 Conservativeness and recurrence of Dirichlet forms
- 6 Time dependent Dirichlet forms ; 6.1 Time dependent Dirichlet forms and associated resolvents ; 6.2 A parabolic potential theory ; 6.3 Associated space-time processes ; 6.4 Additive functionals and associated measures ; 6.5 Some stochastic calculus.