V Féray, P Thévenin - International mathematics research …, 2023 - academic.oup.com
We investigate here the asymptotic behaviour of a large, typical meandric system. More precisely, we show the quenched local convergence of a random uniform meandric system …
J Borga, E Gwynne, M Park - Communications in Mathematical Physics, 2023 - Springer
A meandric system of size n is the set of loops formed from two arc diagrams (non-crossing perfect matchings) on {1,⋯, 2 n}, one drawn above the real line and the other below the real …
V Kargin - Journal of Statistical Physics, 2020 - Springer
A meander system is a union of two arc systems that represent non-crossing pairings of the set 2n={1, ..., 2n\} 2 n= 1,…, 2 n in the upper and lower half-plane. In this paper, we consider …
V Delecroix, E Goujard, P Zograf, A Zorich - arXiv preprint arXiv …, 2023 - arxiv.org
A meander can be seen as a pair of transversally intersecting simple closed curves on a 2- sphere. We consider pairs of transversally intersecting simple closed curves on a closed …
We show that any set of n blue and n red points on a line admits a plane meander path, that is, a crossingfree spanning path that passes across the line on red and blue points in …
M Fukuda, I Nechita - Annales de l'Institut Henri Poincaré D, 2024 - ems.press
In this article, we investigate meandric systems having one shallow side: the arch configuration on that side has depth at most two. This class of meandric systems was …
In the field of quantum information theory, it is well-known that the purely quantum phenomenon called quantum entanglement can boost the capacity of a quantum channel …
Definition 1.1. A meander of size\(n\in\mathbb {N}\) is a simple loop\(\ell\)(ie, a homeomorphic image of the circle) in\(\mathbb {R^ 2}\) which crosses the real line\(\mathbb …