Permutons, meanders, and SLE-decorated Liouville quantum gravity

J Borga, E Gwynne, X Sun - arXiv preprint arXiv:2207.02319, 2022 - arxiv.org
We study a class of random permutons which can be constructed from a pair of space-filling
Schramm-Loewner evolution (SLE) curves on a Liouville quantum gravity (LQG) surface …

Components in meandric systems and the infinite noodle

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 …

On the geometry of uniform meandric systems

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 …

Cycles in random meander systems

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 …

Higher genus meanders and Masur-Veech volumes

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 …

[PDF][PDF] Hamiltonian meander paths and cycles on bichromatic point sets

O Aichholzer, C Alegría, I Parada, A Pilz… - XVIII Spanish Meeting …, 2019 - ist.tugraz.at
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 …

Generating series and matrix models for meandric systems with one shallow side

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 …

[PDF][PDF] Information-theoretic quantities of quantum channels with partition quantum group symmetries

S van Poelgeest - 2022 - repository.tudelft.nl
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 …

[HTML][HTML] The scaling limit of Baxter permutations

J Borga - youngstats.github.io
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 …

[PDF][PDF] Enumerating meanders—three perspectives

I Nechita - ion.nechita.net
Enumerating meanders — three perspectives Page 1 Enumerating meanders — three
perspectives Ion Nechita (CNRS, LPT Toulouse) — joint with Motohisa Fukuda arXiv:1609.02756 …