A note on reflected Dirichlet forms
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2017
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915218918998016 |
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| author | Schmidt, Marcel |
| author_facet | Schmidt, Marcel |
| contents | In this paper we give an algebraic construction of the (active) reflected Dirich- let form. We prove that it is the maximal Silverstein extension whenever the given form does not possess a killing part and we prove that Dirichlet forms need not have a maximal Silverstein extension if a killing is present. For regular Dirichlet forms we provide an alternative construction of the reflected process on a compactification (minus one point) of the underlying space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_08746 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | A note on reflected Dirichlet forms Schmidt, Marcel Probability Functional Analysis In this paper we give an algebraic construction of the (active) reflected Dirich- let form. We prove that it is the maximal Silverstein extension whenever the given form does not possess a killing part and we prove that Dirichlet forms need not have a maximal Silverstein extension if a killing is present. For regular Dirichlet forms we provide an alternative construction of the reflected process on a compactification (minus one point) of the underlying space. |
| title | A note on reflected Dirichlet forms |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/1711.08746 |