Back to Search
Start Over
On a special class of gibbs hard-core point processes modeling random patterns of non-overlapping grains.
- Source :
-
Stochastic Analysis & Applications . 2024, Vol. 42 Issue 2, p386-413. 28p. - Publication Year :
- 2024
-
Abstract
- Inspired by issues of formal kinetics in materials science, we consider a class of processes with density with respect to an inhomogeneous finite Poisson point process, which may be regarded as a generalization of the classical Strauss hard-core process. We prove expressions for the intensity measure and the void probabilities, together with upper and lower bounds. A discussion on some special cases of interest, links with literature and a comparison between Matérn I and Strauss hard-core process are also provided. We apply such a special class of point processes in modeling patterns of non-overlapping grains and in the study of the mean volume density of particular birth-and-growth processes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 07362994
- Volume :
- 42
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Stochastic Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175394301
- Full Text :
- https://doi.org/10.1080/07362994.2023.2262551