220 citations · 3.6k across the 134 of their papers we have counts for
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Singular Vertices and the Triangulation Space of the D-sphere
S. Catterall, G. Thorleifsson, J. Kogut +1
By a sequence of numerical experiments we demonstrate that generic triangulations of the sphere for contain one {\it singular} simplex. The mean number of element…
Lattice Quantum Gravity: Review and Recent Developments
S. Catterall
We review the status of different approaches to lattice quantum gravity indicating the successes and problems of each. Recent developments within the dynamical triangulation formul…
Baby Universes in 4d Dynamical Triangulation
S. Catterall J. Kogut, R. Renken, G. Thorleifsson
We measure numerically the distribution of baby universes in the crumpled phase of the dynamical triangulation model of 4d quantum gravity. The relevance of the results to the issu…
Scaling and the Fractal Geometry of Two-Dimensional Quantum Gravity
S. Catterall, G. Thorleifsson, M. Bowick +1
We examine the scaling of geodesic correlation functions in two-dimensional gravity and in spin systems coupled to gravity. The numerical data support the scaling hypothesis and in…