We consider a continuum percolation model in Rd, where d= 2. It is given by a homogeneous Poisson process of intensity ¿ and independent radii random variables of common distribution of a positive random variable r. Let ¿c be the critical intensity for the existence of infinite cluster. We provide conditions for positivety of ¿c. In case Er2d-1 = 8 our result is new.
|Journal||Markov Processes and Related Fields|
|Publication status||Published - 2007|