78 citations · 88 across the 6 of their papers we have counts for
4 papers · 1 filter
On the curvature of the present-day Universe
Thomas Buchert, Mauro Carfora
We discuss the effect of curvature and matter inhomogeneities on the averaged scalar curvature of the present-day Universe. Motivated by studies of averaged inhomogeneous cosmologi…
The conformal geometry of Random Regge Triangulations
M. Carfora, C. Dappiaggi, A. Marzuoli
We review some of our recent work on the conformal geometry corresponding to the triangulated surfaces used in 2-dimensional simplicial quantum gravity. In particular, we discuss t…
Matter seen at many scales and the geometry of averaging in relativistic cosmology
Thomas Buchert, Mauro Carfora
We investigate the scale-dependence of Eulerian volume averages of scalar functions on Riemannian three-manifolds. We propose a complementary view of a Lagrangian scaling of variab…
Invariants of spin networks with boundary in Quantum Gravity and TQFT's
Gaspare Carbone, Mauro Carfora, Annalisa Marzuoli
The search for classical or quantum combinatorial invariants of compact n-dimensional manifolds (n=3,4) plays a key role both in topological field theories and in lattice quantum g…