Random Surfaces with Boundary

C. Even-Zohar; M. Farber

doi:10.1007/s00454-021-00301-8

Random Surfaces with Boundary

C. Even-Zohar, M. Farber

Mathematics

Technion - Israel Institute of Technology

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	American 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

Keywords

Boundary components
Genus
Gluing

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

Access to Document

10.1007/s00454-021-00301-8

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104536349&doi=10.1007%2fs00454-021-00301-8&partnerID=40&md5=436ac1c0c6161cd846d2d4aafb939563

Cite this

@article{17b19f480f084955b9a6578d7106edfc,

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 = "C. Even-Zohar and M. Farber",

note = "Export Date: 21 February 2022",

year = "2021",

month = dec,

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

language = "American English",

volume = "66",

pages = "1463--1469",

journal = "Discrete and Computational Geometry",

issn = "0179-5376",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Random Surfaces with Boundary

AU - Even-Zohar, C.

AU - Farber, M.

N1 - Export Date: 21 February 2022

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - Boundary components

KW - Genus

KW - Gluing

UR - http://www.scopus.com/inward/record.url?scp=85104536349&partnerID=8YFLogxK

U2 - 10.1007/s00454-021-00301-8

DO - 10.1007/s00454-021-00301-8

M3 - Article

SN - 0179-5376

VL - 66

SP - 1463

EP - 1469

JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 4

ER -

Random Surfaces with Boundary

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this