The genus of a random chord diagram is asymptotically normal

DOI10.1016/j.jcta.2012.07.004zbMath1258.57011arXiv1108.5214OpenAlexW2027167649MaRDI QIDQ1758506

Sergei Chmutov, Boris G. Pittel

Publication date: 9 November 2012

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5214

zbMATH Keywords

randomdistributionlimitgenuschord diagrams

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) General low-dimensional topology (57M99) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

Related Items (9)

A character approach to directed genus distribution of graphs: the bipartite single-black-vertex case ⋮ Another proof of the Harer-Zagier formula ⋮ Formation of a giant component in the intersection graph of a random chord diagram ⋮ On a uniformly random chord diagram and its intersection graph ⋮ Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ Random surfaces with boundary ⋮ A lower bound on the average genus of a 2-bridge knot ⋮ On a surface formed by randomly gluing together polygonal discs ⋮ Universality for random surfaces in unconstrained genus

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