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Continuum percolation for Gibbs point processes

   
@article{ECP2837,
	author = {Kaspar Stucki},
	title = {Continuum percolation for Gibbs point processes},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Gibbs point process; Percolation; Boolean model; Conditional intensity},
	abstract = {
We consider percolation properties of the Boolean model generated by a Gibbs point process and balls with deterministic radius. We show that for a large class of Gibbs point processes there exists a critical activity, such that percolation occurs a.s.  above criticality. For locally stable Gibbs point processes we show a converse result, i.e. they do not percolate a.s. at low activity.
},
	pages = {no. 67, 1-10},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2837},    
        url = {http://ecp.ejpecp.org/article/view/2837}}