On the spectral dimension of causal triangulations

We introduce an ensemble of infinite causal triangulations, called the uniform infinite causal triangulation, and show that it is equivalent to an ensemble of infinite trees, the uniform infinite planar tree. It is proved that in both cases the Hausdorff dimension almost surely equals 2. The infinit...

Description complète

Détails bibliographiques
Auteurs principaux: Durhuus, B, Jonsson, T, Wheater, J
Format: Journal article
Publié: 2009