Translator Disclaimer
2014 Continuum percolation for quermass interaction model
David Coupier, David Dereudre
Author Affiliations +
Electron. J. Probab. 19: 1-19 (2014). DOI: 10.1214/EJP.v19-2298

Abstract

The continuum percolation for Markov (or Gibbs) germ-grain models in dimension 2 is investigated. The grains are assumed circular with random radii on a compact support. The morphological interaction is the so-called quermass interaction defined by a linear combination of the classical Minkowski functionals (area, perimeter and Euler-Poincaré characteristic). We show that the percolation occurs for any coefficient of this linear combination and for a large enough activity parameter. An application to the phase transition of the multi-type quermass model is given.

Citation

Download Citation

David Coupier. David Dereudre. "Continuum percolation for quermass interaction model." Electron. J. Probab. 19 1 - 19, 2014. https://doi.org/10.1214/EJP.v19-2298

Information

Accepted: 19 March 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1291.60201
MathSciNet: MR3183579
Digital Object Identifier: 10.1214/EJP.v19-2298

Subjects:
Primary: 60K35
Secondary: 82B05, 82B21, 82B26, 82B43

JOURNAL ARTICLE
19 PAGES


SHARE
Vol.19 • 2014
Back to Top