Universality in branched polymers on d-dimensional hypercubic lattices

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Abstract
The authors have derived series for weakly and strongly embeddable trees in d-dimensional simple hypercubic lattices for arbitrary integral d. For d=2,3,...,9 they present series evidence that such trees are in the same universality class as lattice animals. In addition they have derived expansions in inverse powers of sigma =2d-1 for the growth parameters for bond and site trees and compare these with the corresponding results for animals.

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