386 citations · 5.6k across the 175 of their papers we have counts for
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Quantum geometry of topological gravity
J. Ambjorn, K. N. Anagnostopoulos, T. Ichihara +4
We study a c=-2 conformal field theory coupled to two-dimensional quantum gravity by means of dynamical triangulations. We define the geodesic distance r on the triangulated surfac…
Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for
J. Ambjorn, K. N. Anagnostopoulos, U. Magnea +1
We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a…
Alternative actions for quantum gravity and the intrinsic rigidity of the spacetime
J. Ambjorn, G. K. Savvidy, K. G. Savvidy
Using the Steiner-Weyl expansion formula for parallel manifolds and the so called gonihedric principle we find a large class of discrete integral invariants which are defined on si…
New universal spectral correlators
J. Ambjorn, G. Akemann
We study the universal properties of distributions of eigenvalues of random matrices in the large limit. The distributions fall in universality classes characterized entirely b…
The measure in three dimensional Nambu-Goto string theory
J. Ambjorn, A. Sedrakyan
We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations…
RG flow in an exactly solvable model with fluctuating geometry
Jan Ambjorn, Piotr Bialas, Jerzy Jurkiewicz
A recently proposed renormalization group technique, based on the hierarchical structures present in theories with fluctuating geometry, is implemented in the model of branched pol…