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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.17339 |
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| _version_ | 1866912913069965312 |
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| author | Chen, Xin Wang, Jian Yin, Kun |
| author_facet | Chen, Xin Wang, Jian Yin, Kun |
| contents | We investigate the stochastic homogenization of a class of turbulent diffusions generated by non-local symmetric Lévy operators with divergence-free drift fields in ergodic random environments, where neither the drift fields nor their associated stream functions are assumed to be bounded. A pivotal step in our proof is the establishment of $W_{loc}^{1,q}$ estimates with $q\in (1,2)$ for the corresponding correctors, under mild prior regularity conditions imposed on the Lévy measure and the stream function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17339 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stochastic homogenization of diffusions in turbulence driven by non-local symmetric Lévy operators Chen, Xin Wang, Jian Yin, Kun Probability We investigate the stochastic homogenization of a class of turbulent diffusions generated by non-local symmetric Lévy operators with divergence-free drift fields in ergodic random environments, where neither the drift fields nor their associated stream functions are assumed to be bounded. A pivotal step in our proof is the establishment of $W_{loc}^{1,q}$ estimates with $q\in (1,2)$ for the corresponding correctors, under mild prior regularity conditions imposed on the Lévy measure and the stream function. |
| title | Stochastic homogenization of diffusions in turbulence driven by non-local symmetric Lévy operators |
| topic | Probability |
| url | https://arxiv.org/abs/2602.17339 |