Infinite dimensional affine processes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866918210506326016 |
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| author | Schmidt, Thorsten Tappe, Stefan Yu, Weijun |
| author_facet | Schmidt, Thorsten Tappe, Stefan Yu, Weijun |
| contents | The goal of this article is to investigate infinite dimensional affine diffusion processes on the canonical state space. This includes a derivation of the corresponding system of Riccati differential equations and an existence proof for such processes, which has been missing in the literature so far. For the existence proof, we will regard affine processes as solutions to infinite dimensional stochastic differential equations with values in Hilbert spaces. This requires a suitable version of the Yamada-Watanabe theorem, which we will provide in this paper. Several examples of infinite dimensional affine processes accompany our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_10337 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Infinite dimensional affine processes Schmidt, Thorsten Tappe, Stefan Yu, Weijun Probability Functional Analysis 60J25, 60H10 The goal of this article is to investigate infinite dimensional affine diffusion processes on the canonical state space. This includes a derivation of the corresponding system of Riccati differential equations and an existence proof for such processes, which has been missing in the literature so far. For the existence proof, we will regard affine processes as solutions to infinite dimensional stochastic differential equations with values in Hilbert spaces. This requires a suitable version of the Yamada-Watanabe theorem, which we will provide in this paper. Several examples of infinite dimensional affine processes accompany our results. |
| title | Infinite dimensional affine processes |
| topic | Probability Functional Analysis 60J25, 60H10 |
| url | https://arxiv.org/abs/1907.10337 |