… rigorous account of continuum percolation. The authors … continuum models. Where appropriate,
they make clear the connections between discrete percolation and continuum percolation…

… on a regular lattice, the critical probability at which percolation takes place is often the … of
percolation in the continuum. We shall show in the present paper that for continuum percolation, …

… percolation theory has been applied are continuum systems, most of the developments in
percolation … have shown, however, that continuum percolation warrants investigation in its own …

… ; here we focus on two-dimensional percolation with disks, squares that are aligned or …
algorithm for lattice percolation. We show that it can be adapted to continuum percolation with the …

Consider particles placed in space by a Poisson process. Pairs of particles are bonded
together, independently of other pairs, with a probability that depends on their separation, …

… The step that is very important here, and will be very basic when we discuss continuum
percolation, is the definition of the local connectivity between members in a given system. In the …

… the t0 2 value for the universal 3D percolation system [1– 4], … , we consider a bond percolation
model for a cubic lattice … t, in tunnelingpercolation systems in the continuum, are between 2 …

… In fractal media, continuum percolation is preferable to bond percolation treatments [Hunt,
2001]. In continuum percolation the relevant variable is a volume fraction, which has been …

We introduce a two‐point cluster function C 2 (r 1 ,r 2 ) which reflects information about
clustering in general continuum–percolation models. Specifically, for any two‐phase disordered …

… continuum percolation problem is similar to bond percolation … also an analogue of site
percolation. In developing the basic … percolation; at equation (2.9), an analogy to site percolation is …