Work

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

Year: 2024

Type: article

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.

Source: Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matematiche e Naturali/Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali

DOI: 10.1478/aapp.1022a4

Author: Ferrara, Massimiliano

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W6961143994

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