69 citations · 346 across the 31 of their papers we have counts for
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Conformal variations and quantum fluctuations in discrete gravity
Annalisa Marzuoli, Dario Merzi
After an overview of variational principles for discrete gravity, and on the basis of the approach to conformal transformations in a simplicial PL setting proposed by Luo and Glick…
Spin networks, quantum automata and link invariants
Silvano Garnerone, Annalisa Marzuoli, Mario Rasetti
The spin network simulator model represents a bridge between (generalized) circuit schemes for standard quantum computation and approaches based on notions from Topological Quantum…
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…
Hierarchies of invariant spin models
Gaspare Carbone, Mauro Carfora, Annalisa Marzuoli
In this paper we present classes of state sum models based on the recoupling theory of angular momenta of SU(2) (and of its q-counterpart , q a root of unity). Such cla…
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…
Critical Phenomena for Riemannian Manifolds: Simple Homotopy and Simplicial Quantum Gravity
M. Carfora, A. Marzuoli
We show how Gromov's spaces of bounded geometries provide a general mathematical framework for addressing and solving many of the issues of -simplicial quantum gravity. In part…