Abstract
For a Markov process X associated to a Dirichlet form, we use continuous additive functionals obtained by Fukushima decompositions in order to represent the class of additive functionals of zero quadratic variation. We do not assume that X is symmetric.
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Walsh, A. On a representation of additive functionals of zero quadratic variation. Potential Anal 38, 1173–1186 (2013). https://doi.org/10.1007/s11118-012-9311-z
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DOI: https://doi.org/10.1007/s11118-012-9311-z
Keywords
- Fukushima decomposition
- Markov process
- Dirichlet form
- Additive functional
- Zero energy process
- Quadratic variation