Existence of an unbounded vacant set for subcritical continuum percolation

Daniel Ahlberg, Vincent Tassion, Augusto Teixeira

Type: Preprint

Publication Date: 2017-06-09

Citations: 3

Locations

arXiv (Cornell University) - View

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+	Wetting and layering for Solid-on-Solid II: Layering transitions, Gibbs states, and regularity of the free energy	2017	Hubert Lacoin
+	Non-triviality of the vacancy phase transition for the Boolean model	2018	Mathew D. Penrose
+	Non-triviality of the vacancy phase transition for the Boolean model	2017	Mathew D. Penrose

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	The critical probability for random Voronoi percolation in the plane is 1/2	2005	Béla Bollobás Oliver Riordan
+ PDF Chat	Domination by product measures	1997	Thomas M. Liggett Roberto H. Schonmann Alan Stacey
+	The critical probability of bond percolation on the square lattice equals 1/2	1980	Harry Kesten
+ PDF Chat	On Continuum Percolation	1985	Peter Hall
+ PDF Chat	The Russo-Seymour-Welsh Theorem and the Equality of Critical Densities and the "Dual" Critical Densities for Continuum Percolation on $\|mathbb{R}^2$	1990	R. Roy
+	Sharpness of the phase transition for continuum percolation in R^2	2016	Daniel Ahlberg Vincent Tassion Augusto Teixeira
+	Non-triviality of the vacancy phase transition for the Boolean model	2017	Mathew D. Penrose
+ PDF Chat	Subcritical regimes in the Poisson Boolean model of continuum percolation	2008	Jean-Baptiste Gouéré