6533b870fe1ef96bd12d05aa

RESEARCH PRODUCT

A laplace type problem for three lattices with non-convex cell

Marius StokaMaria PettineoGiuseppe Caristi

subject

0209 industrial biotechnologyAlgebra and Number TheoryLaplace transformHigh Energy Physics::Lattice020208 electrical & electronic engineeringMathematical analysisRegular polygon02 engineering and technologyGeometric probabilityRandom setsGeometric probability stochastic geometry random sets random convex sets and integral geometry020901 industrial engineering & automationRandom convex sets and integral geometrySettore MAT/05 - Analisi MatematicaLattice (order)0202 electrical engineering electronic engineering information engineeringStochastic geometrySettore MAT/03 - GeometriaAnalysisMathematics

description

In this paper we consider three lattices with cells represented in Fig. 1, 3 and 5 and we determine the probability that a random segment of constant length intersects a side of lattice. c ⃝2016 All rights reserved.

yearjournalcountryeditionlanguage
2016-01-19
10.22436/jnsa.009.01.07http://hdl.handle.net/10447/493674