Quasi-potential of stationary and quasi-stationary densities: existence, regularity, and applications
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909655839539200 |
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| author | Mou, Chenchen Qi, Weiwei Shen, Zhongwei Yi, Yingfei |
| author_facet | Mou, Chenchen Qi, Weiwei Shen, Zhongwei Yi, Yingfei |
| contents | The present paper is devoted to the large deviation principle (LDP), with particular emphasis on the regularity of the quasi-potential for densities of stationary and quasi-stationary distributions of randomly perturbed dynamical systems. Our framework is set up within a positively invariant set contained in the basin of attraction of a maximal attractor of the unperturbed system. Such a setting with a general maximal attractor is anticipated in many applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-potential of stationary and quasi-stationary densities: existence, regularity, and applications Mou, Chenchen Qi, Weiwei Shen, Zhongwei Yi, Yingfei Dynamical Systems The present paper is devoted to the large deviation principle (LDP), with particular emphasis on the regularity of the quasi-potential for densities of stationary and quasi-stationary distributions of randomly perturbed dynamical systems. Our framework is set up within a positively invariant set contained in the basin of attraction of a maximal attractor of the unperturbed system. Such a setting with a general maximal attractor is anticipated in many applications. |
| title | Quasi-potential of stationary and quasi-stationary densities: existence, regularity, and applications |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2506.17546 |