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arXiv · 2303.01900

Central limit theorem for components in meandric systems through high moments

Svante Janson·Paul Thévenin
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Abstract

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.

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Svante Janson, Paul Thévenin. 2023-03-03. Central limit theorem for components in meandric systems through high moments. https://doi.org/10.1017/s0963548324000117

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