@article{EJP2298,
author = {David Coupier and David Dereudre},
title = {Continuum percolation for quermass model},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
keywords = {Stochastic geometry, Gibbs point process, germ-grain model, Quermass interaction, percolation, phase transition.},
abstract = {The continuum percolation for Markov (or Gibbs) germ-grain models 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.},
pages = {no. 35, 1-19},
issn = {1083-6489},
doi = {10.1214/EJP.v19-2298},
url = {http://ejp.ejpecp.org/article/view/2298}}