Scale-dependent Hausdorff dimensions in 2d gravity
High Energy Physics - Theory
2015-06-22 v1 General Relativity and Quantum Cosmology
Combinatorics
Abstract
By appropriate scaling of coupling constants a one-parameter family of ensembles of two-dimensional geometries is obtained, which interpolates between the ensembles of (generalized) causal dynamical triangulations and ordinary dynamical triangulations. We study the fractal properties of the associated continuum geometries and identify both global and local Hausdorff dimensions.
Cite
@article{arxiv.1406.6251,
title = {Scale-dependent Hausdorff dimensions in 2d gravity},
author = {J. Ambjorn and T. Budd and Y. Watabiki},
journal= {arXiv preprint arXiv:1406.6251},
year = {2015}
}
Comments
12 pages, 3 figures