Anisotropic Buffon’s needle problems

Salvatore Flavio Vassallo*

*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

In this paper, we investigate anisotropic extensions of the classical Buffon’s needle problem. In particular, we study the cases where the angle between the needle and a fixed reference direction follows a triangular, a trapezoidal, a wrapped exponential, or a Von Mises distribution law. Within the first two cases, we examine both the oriented and non-oriented needle problems, while within the latter two cases, we study the oriented needle problem exclusively. For the examined distributions, we also determine the minimum and the maximum probability
Lingua originaleEnglish
pagine (da-a)118-128
Numero di pagine11
RivistaPalestine Journal of Mathematics
Volume13
Stato di pubblicazionePubblicato - 2024

Keywords

  • Buffon’s Needle Problem
  • Geometric Probability
  • Random Sets
  • Stochastic Geometry

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