Criticial exponents in percolation via lattice animals

We examine the percolation model on ℤd by an approach involving lattice animals and their surface-area-to-volume ratio. For β ∈ [0, 2(d - 1)), let f(β) be the asymptotic exponential rate in the number of edges of the number of lattice animals containing the origin which have surface-area-to-volume r...