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Connectivity Properties of Continuum Percolation Processes on ℝ2

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Journal of Statistical Physics, 106 (1): 1--22 (01.01.2002)
DOI: 10.1023/a:1013157427257

Аннотация

A new approach is introduced in order to estimate the critical parameters of continuous percolation of overlapping disks in R2 when the centres of the disks are Poisson distributed. Better insights on relevant parameters near criticality are found. Moreover, introducing a suitable connectivity length, the model is able to describe continuous percolation of any type of geometrical objects in R2.

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