Estimates of $mm$-entropy of a stable Lévy process
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910264953143296 |
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| author | Khamzin, Viktor Lifshits, Mikhail |
| author_facet | Khamzin, Viktor Lifshits, Mikhail |
| contents | In the article the $mm$-entropy (an entropy of a metric measure space) introduced by C. Shannon is evaluated for an $α$-stable Lévy process. For $α<1$ the double-sided estimates of the same order are obtained for process distribution in Skorokhod space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28204 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Estimates of $mm$-entropy of a stable Lévy process Khamzin, Viktor Lifshits, Mikhail Probability In the article the $mm$-entropy (an entropy of a metric measure space) introduced by C. Shannon is evaluated for an $α$-stable Lévy process. For $α<1$ the double-sided estimates of the same order are obtained for process distribution in Skorokhod space. |
| title | Estimates of $mm$-entropy of a stable Lévy process |
| topic | Probability |
| url | https://arxiv.org/abs/2605.28204 |