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Continuum percolation for quermass model


 
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1. Title Title of document Continuum percolation for quermass model
 
2. Creator Author's name, affiliation, country David Coupier; Université Lille 1; France
 
2. Creator Author's name, affiliation, country David Dereudre; Université Lille 1; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Stochastic geometry, Gibbs point process, germ-grain model, Quermass interaction, percolation, phase transition.
 
3. Subject Subject classification 60K35;82B05;82B21;82B26;82B43
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-03-19
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2298
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-2298
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
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