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We recall the relation between finite-size scaling and the phenomenological renormalization. We calculate the exponent ν in dimension 2 for percolation and find a good agreement with the conjecture 4/3 of den Nijs. For lattice animals, we construct transfer matrices to calculate the correlation lengths and we find ν = 0.640 8 ± 0.000 3 in dimension 2.
Derrida et al. (Fri,) studied this question.