Abstract
A theorem is given to establish the equality of the critical exponents β, v,γ in continuum and lattice percolation. A model is given to simulate electrical transport properties of continuum percolation systems in two and three dimensions where the holes have identical or random radii. The results for constant radii agree with those obtained by other methods. The results for random radii are new. The conductivity exponent is found and is shown to satisfy the rigorous bounds derived using variational methods by Halperin et al.
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