|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
The diameter of random
Belyĭ surfaces
Thomas Budzinski, Nicolas Curien and Bram Petri |
|
Algebraic & Geometric Topology 21 (2021) 2929–2957
|
Abstract |
|
We determine the asymptotic growth rate of the diameter of the random hyperbolic surfaces constructed by Brooks and Makover (J. Differential Geom. 68 (2004) 121–157). This model consists of a uniform gluing of hyperbolic ideal triangles along their sides followed by a compactification to get a random hyperbolic surface of genus roughly . We show that the diameter of those random surfaces is asymptotic to in probability as . |
PDF Access Denied
We have not been able to recognize your IP address
18.116.239.195
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
diameter, hyperbolic surfaces, random surfaces
|
Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 05C80
|
References |
Publication
Received: 12 November 2019
Revised: 24 September 2020
Accepted: 20 October 2020
Published: 22 November 2021
|
Authors |
| Thomas Budzinski | |
| Mathematics Department University of British Columbia Vancouver, BC Canada |
|
| Nicolas Curien | |
| Département de Mathématique Université Paris-Saclay and Institut Universitaire de France Orsay France |
|
| Bram Petri | |
| Institut de Mathématiques de
Jussieu-Paris Rive Gauche Sorbonne Université Paris France |
|
