Colored tensor models have recently burst onto the scene as a promising conceptual and
computational tool in the investigation of problems of random geometry in dimension three …

This is a survey of the techniques and results developed by M. Pezzana and his group,
which includes, besides the authors, A. Cavicchioli, P. Bandieri and A Donati. The original …

This book offers a self-contained account of the 3-manifold invariants arising from the
original Jones polynomial. These are the Witten-Reshetikhin-Turaev and the Turaev-Viro …

Written by the creator of the modern theory of random tensors, this book is the first self-
contained introductory text to this rapidly develo** theory. Starting from notions familiar to …

In this paper we generalize the results of Gurau (arxiv: 1011. 2726 [gr-qc], 2011), Gurau and
Rivasseau (arxiv: 1101.4182 [gr-qc], 2011) and derive the full 1/N expansion of colored …

In this paper, we perform the 1/N expansion of the colored three-dimensional Boulatov
tensor model. As in matrix models, we obtain a systematic topological expansion, with …

The 1/N expansion of colored tensor models in arbitrary dimension Page 1 The 1/N expansion
of colored tensor models in arbitrary dimension To cite this article: R. Gurau and V. Rivasseau …

We construct a second quantized reformulation of canonical loop quantum gravity (LQG) at
both kinematical and dynamical level, in terms of a Fock space of spin networks, and show …

We prove that an integrated version of the Gurau colored tensor model supplemented with
the usual Bosonic propagator on U (1) 4 is renormalizable to all orders in perturbation …

A remarkable lemma of Szemerédi asserts that, very roughly speaking, any dense graph can
be decomposed into a bounded number of pseudorandom bipartite graphs. This far …