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
A Laplace-type problem for a lattice with cell composed by regular polygons with obstacles / Ferrara, Massimiliano. - In: ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. - ISSN 1825-1242. - 102:2(2024), pp. 1-9. [10.1478/AAPP.1022A4]
A Laplace-type problem for a lattice with cell composed by regular polygons with obstacles
Ferrara, Massimiliano
Conceptualization
2024-01-01
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 issuesI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
