Central limit theorem for components in meandric systems through high moments
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916487347830784 |
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| author | Janson, Svante Thévenin, Paul |
| author_facet | Janson, Svante Thévenin, Paul |
| contents | We investigate here the behaviour of a large typical meandric system, proving a central limit theorem for the number of components of given shape. Our main tool is a theorem of Gao and Wormald, that allows us to deduce a central limit theorem from the asymptotics of large moments of our quantities of interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_01900 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Central limit theorem for components in meandric systems through high moments Janson, Svante Thévenin, Paul Probability Combinatorics 60C05, 60F05 We investigate here the behaviour of a large typical meandric system, proving a central limit theorem for the number of components of given shape. Our main tool is a theorem of Gao and Wormald, that allows us to deduce a central limit theorem from the asymptotics of large moments of our quantities of interest. |
| title | Central limit theorem for components in meandric systems through high moments |
| topic | Probability Combinatorics 60C05, 60F05 |
| url | https://arxiv.org/abs/2303.01900 |