Random Surfaces with Boundary

Chaim Even-Zohar; Michael Farber

doi:10.1007/s00454-021-00301-8

Random Surfaces with Boundary

Chaim Even-Zohar^*, Michael Farber

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1463-1469
Number of pages	7
Journal	Discrete and Computational Geometry
Volume	66
Issue number	4
DOIs	https://doi.org/10.1007/s00454-021-00301-8
State	Published - Dec 2021
Externally published	Yes

Keywords

Boundary components
Genus
Gluing

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10.1007/s00454-021-00301-8

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title = "Random Surfaces with Boundary",

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.",

keywords = "Boundary components, Genus, Gluing",

author = "Chaim Even-Zohar and Michael Farber",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

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doi = "10.1007/s00454-021-00301-8",

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JO - Discrete and Computational Geometry

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Random Surfaces with Boundary

Abstract

Keywords

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