A Laplace-type problem for a lattice with cell composed by regular polygons with obstacles

Autor: Massimiliano Ferrara
Jazyk: English<br />Italian
Rok vydání: 2024
Předmět:
Zdroj: Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 102, Iss 2, p A4 (2024)
Druh dokumentu: article
ISSN: 0365-0359
1825-1242
DOI: 10.1478/AAPP.1022A4
Popis: In this paper we consider a lattice with a fundamental cell composed of two triangles and two trapezoids in the presence of some obstacles and we determine the probability p that a random segment with uniform and random distribution of constant length intersects a side of the lattice. By this note we solve a Stochastic Geometry’s open problem as well and we start to connect this field to some aspects related Artificial Intelligence issues.
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