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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.18846 |
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| _version_ | 1866908503981948928 |
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| author | Wang, Feng-Yu |
| author_facet | Wang, Feng-Yu |
| contents | As a continuation to \cite{MRW} where the Poincaré and log-Sobolev inequalities were studied for the sticky-reflected Brownian motion on Riemannian manifolds with boundary, this paper establishes the super and weak Poincaré inequalities for more general sticky-reflected diffusion processes. As applications, the convergence rate and uniform integrability of the associated diffusion semigroups are characterized. The main results are illustrated by concrete examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18846 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Super and Weak Poincaré Inequalities for Sticky-Reflected Diffusion Processes Wang, Feng-Yu Probability As a continuation to \cite{MRW} where the Poincaré and log-Sobolev inequalities were studied for the sticky-reflected Brownian motion on Riemannian manifolds with boundary, this paper establishes the super and weak Poincaré inequalities for more general sticky-reflected diffusion processes. As applications, the convergence rate and uniform integrability of the associated diffusion semigroups are characterized. The main results are illustrated by concrete examples. |
| title | Super and Weak Poincaré Inequalities for Sticky-Reflected Diffusion Processes |
| topic | Probability |
| url | https://arxiv.org/abs/2508.18846 |