Random Surfaces with Boundary

Chaim Even-Zohar*, Michael Farber

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components asymptotically follow a bivariate normal distribution.

Original languageEnglish
Pages (from-to)1463-1469
Number of pages7
JournalDiscrete and Computational Geometry
Volume66
Issue number4
DOIs
StatePublished - Dec 2021
Externally publishedYes

Funding

FundersFunder number
Leverhulme Foundation
Lloyd?s Register Foundation/Alan Turing Institute
Lloyd’s Register Foundation/Alan Turing Institute

    Keywords

    • Boundary components
    • Genus
    • Gluing

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