Abbreviated Journal Title
Nucl. Phys. B
Simplicial Quantum-Gravity; Physics; Particles & Fields
By a sequence of numerical experiments we demonstrate that generic triangulations of the D-sphere for D > 3 contain one singular (D - 3)-simplex. The mean number of elementary D-simplices sharing this simplex increases with the volume of the triangulation according to a simple power law. The lower dimension subsimplices associated with this (D - 3)-simplex also show a singular behaviour. Possible consequences for the DT model of four-dimensional quantum gravity are discussed.
Nuclear Physics B
Catterall, S.; Thorleifsson, G.; Kogut, J.; and Renken, Ray L., "Singular Vertices And The Triangulation Space Of The D-Sphere" (1996). Faculty Bibliography 1990s. 1586.