JOURNAL ARTICLE

Random Spherical Disc-Polygons in a Spherical Spindle Convex Disc.

  • Published In: Studia Scientiarum Mathematicarum Hungarica, 2024, v. 61, n. 3. P. 215 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Nagy, Kinga; Vígh, Viktor 3 of 3

Abstract

In this paper, we consider the asymptotic behaviour of the expectation of the number of vertices of a uniform random spherical disc-polygon. This provides a connection between the corresponding results in spherical convexity, and in Euclidean spindle-convexity, where the expectation tends to the same constant. We also extend the result to a more general case, where the random points generating the uniform random disc-polygon are chosen from spherical convex disc with smooth boundary. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Studia Scientiarum Mathematicarum Hungarica. 2024/09, Vol. 61, Issue 3, p215
  • Document Type:Article
  • Subject Area:Architecture
  • Publication Date:2024
  • ISSN:0081-6906
  • DOI:10.1556/012.2024.04315
  • Accession Number:181072444
  • Copyright Statement:Copyright of Studia Scientiarum Mathematicarum Hungarica is the property of Akademiai Kiado and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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