Central limit theorem for components in meandric systems through high moments
arXiv:2303.01900 · doi:10.1017/S0963548324000117
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.
18 pages, 2 figures