Stein's Method for Convergence Rates of Invariant Measures in the Nonlocal-to-Local Limit
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916070460227584 |
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| author | Wu, Mingyan Zhao, Guohuan |
| author_facet | Wu, Mingyan Zhao, Guohuan |
| contents | We utilize Stein's method to establish quantitative bounds on the total variation distance between the invariant measure of a drifted nonlocal Markov operator and that of its local counterpart under minimal assumptions on the drifts. The main ingredient is a reduction via Stein's method that transforms the original problem into analyzing growth estimates for solutions to a nonlocal Poisson equation and decay estimates for the invariant measure of the local operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00586 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stein's Method for Convergence Rates of Invariant Measures in the Nonlocal-to-Local Limit Wu, Mingyan Zhao, Guohuan Probability Functional Analysis We utilize Stein's method to establish quantitative bounds on the total variation distance between the invariant measure of a drifted nonlocal Markov operator and that of its local counterpart under minimal assumptions on the drifts. The main ingredient is a reduction via Stein's method that transforms the original problem into analyzing growth estimates for solutions to a nonlocal Poisson equation and decay estimates for the invariant measure of the local operator. |
| title | Stein's Method for Convergence Rates of Invariant Measures in the Nonlocal-to-Local Limit |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2606.00586 |