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

Authors

  • Massimiliano Ferrara Università "Mediterranea" di Reggio Calabria

DOI:

https://doi.org/10.1478/AAPP.1022A4

Keywords:

Stochastic Geometry, Probability, Integral Geometry, Exponential distribution.

Abstract

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.

Author Biography

  • Massimiliano Ferrara, Università "Mediterranea" di Reggio Calabria
    Dipartimento di Giurisprudenza, Economia e Scienze Umane, Full Professor of Mathematical Economics

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Published

2024-09-07

Issue

Vol. 102 No. 2 (2024)

Section

Articles

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