4 citations · 7 across the 7 of their papers we have counts for
4 papers · 1 filter
S-meandric Permutations and Tangency Polynomials
Yury Belousov, Viktoriia Georgievskaia
A meander is a configuration of two simple plane curves intersecting transversely. The orders of their intersection points define a permutation that determines the configuration. W…
The 2-colored operad on the set of singular meanders
Yury Belousov
In the recent work arXiv:2112.10289 we introduced a geometric decomposition of meanders. In the present paper, we generalize this approach to the case of singular meanders and give…
Prime Factorization of Meanders
Y. Belousov
In this paper, we introduce a prime factorization of open meanders, articulated through the framework of 2-colored operads. We demonstrate that each open meander can be canonically…
On irreducible meanders growth rate
Y. Belousov, A. Malyutin
In this article, we provide upper and lower bounds for the growth rate of irreducible meanders. The obtained upper bound implies that the proportion of irreducible meanders among a…