On Entropy of 3-Dimensional Simplicial Complexes

Abstract

We prove that the number of 3-dimensional simplicial complexes having the spherical topology grows exponentially as a function of a volume. It is suggested that the 3d simplicial quantum gravity has qualitatively the same phase structure as the O(n) matrix model in the dense phase.

NBI-HE-94-37, 13 pages

Cited by in corpus (3)

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• Entropy of random coverings and 4D quantum gravity
• On the entropy bound of three dimensional simplicial gravity