On a conjecture by Chapuy about Voronoï cells in large maps
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Publication:3302869
DOI10.1088/1742-5468/aa8c25zbMath1458.05238arXiv1703.02781OpenAlexW2596481840WikidataQ123011116 ScholiaQ123011116MaRDI QIDQ3302869
Publication date: 11 August 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.02781
Related Items (5)
Random matrices and random graphs ⋮ Statistics of the Voronoï cell perimeter in large bi-pointed maps ⋮ On tessellations of random maps and the \(t_g\)-recurrence ⋮ A universal law for Voronoï cell volumes in infinitely large maps ⋮ The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity
Cites Work
- The KP hierarchy, branched covers, and triangulations
- The map asymptotics constant \(t_{g}\)
- The asymptotic number of rooted maps on a surface
- Geodesic distance in planar graphs
- Simple recurrence formulas to count maps on orientable surfaces
- Trees and spatial topology change in CDT
- The three-point function of general planar maps
- Tessellations of random maps of arbitrary genus
- The three-point function of planar quadrangulations
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