Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa5a19
Abstract: We examine the interplay between anisotropy and percolation, i.e. the spontaneous formation of a system spanning cluster in an anisotropic model. We simulate an extension of a benchmark model of continuum percolation, the Boolean model,… read more here.
Keywords: system; minkowski functionals; percolation; percolation threshold ... See more keywords
Equivalence of some subcritical properties in continuum percolation
Sign Up to like & getrecommendations! Published in 2019 at "Bernoulli"
DOI: 10.3150/19-bej1108
Abstract: We consider the Boolean model on $\R^d$. We prove some equivalences between subcritical percolation properties. Let us introduce some notations to state one of these equivalences. Let $C$ denote the connected component of the origin… read more here.
Keywords: percolation; properties continuum; equivalence subcritical; continuum percolation ... See more keywords