Asymptotic safety describes a scenario in which general relativity can be quantized as a
conventional field theory, despite being nonrenormalizable when expanding it around a …

The construction of a consistent theory of quantum gravity is a problem in theoretical physics
that has so far defied all attempts at resolution. One ansatz to try to obtain a non-trivial …

We provide detailed evidence for the claim that nonperturbative quantum gravity, defined
through state sums of causal triangulated geometries, possesses a large-scale limit in which …

We construct a well-defined regularized path integral for Lorentzian quantum gravity in terms
of dynamically triangulated causal space-times. Each Lorentzian geometry and its action …

We analyse the properties of a very simple “balls-in-boxes” model which can exhibit a phase
transition between a fluid and a condensed phase, similar to the behaviour encountered in …

We propose a consistent approach to the statistics of the shortest paths in random graphs
with a given degree distribution. This approach goes further than a usual tree ansatz and …

The express purpose of these lecture notes is to go through some aspects of the simplicial
quantum gravity model known as the dynamical triangula tions approach. Emphasis has …

Abstract The approach of Causal Dynamical Triangulations (CDT), a candidate theory of
nonperturbative quantum gravity in 4D, turns out to have a rich phase structure. We …

A fascinating and deep question about nature is what one would see if one could probe
space and time at smaller and smaller distances. Already the 19th century founders of …

We study nongeneric planar trees and prove the existence of a Gibbs measure on infinite
trees obtained as a weak limit of the finite volume measures. It is shown that in the infinite …