Local central limit theorem for Mallows measure
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910605577814016 |
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| author | Bufetov, Alexey Chen, Kailun |
| author_facet | Bufetov, Alexey Chen, Kailun |
| contents | We study the statistics of the Mallows measure on permutations in the limit pioneered by Starr (2009). Our main result is the local central limit theorem for its height function. We also re-derive versions of the law of large numbers and the large deviation principle, obtain the standard central limit theorem from the local one, and establish a multi-point version of the local central limit theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10415 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local central limit theorem for Mallows measure Bufetov, Alexey Chen, Kailun Probability Mathematical Physics Combinatorics We study the statistics of the Mallows measure on permutations in the limit pioneered by Starr (2009). Our main result is the local central limit theorem for its height function. We also re-derive versions of the law of large numbers and the large deviation principle, obtain the standard central limit theorem from the local one, and establish a multi-point version of the local central limit theorem. |
| title | Local central limit theorem for Mallows measure |
| topic | Probability Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2409.10415 |