This topical review gives a comprehensive overview and assessment of recent results in
causal dynamical triangulations, a modern formulation of lattice gravity, whose aim is to …

This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-
dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The …

A bstract We propose that a class of new topologies, for which there is no classical solution,
should be included in the path integral of three-dimensional pure gravity, and that their …

We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

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 …

A bstract We study two-dimensional Liouville gravity and minimal string theory on spaces
with fixed length boundaries. We find explicit formulas describing the gravitational dressing …

Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …

Emphasis is on 2d target space (c= 1 coupled to gravity). Contents: 0. Introduction,
Overview, and Purpose 1. Loops and States in Conformal Field Theory 2. 2D Euclidean …

We present evidence for a duality between Jackiw-Teitelboim gravity minimally coupled to a
free massive scalar field and a single-trace two-matrix model. One matrix is the Hamiltonian …