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We note that this value of ν is also suspiciously close to the one known for self-avoiding polymerized (i.e., solid) 3D manifolds, ν 0.8. See Y. Kantor, in Statistical Mechanics of Membranes and Surfaces, pp. 111-130. This suggests that the configurations of the variable-connectivity (fluid) manifold studied here, when it is sufficiently swollen, may become statistically equivalent to those of polymerized membranes. However, we currently cannot prove this suggestion.
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