| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Fed Fluminense, Dept Stat, BR-24020140 Niteroi, RJ - Brazil
[2] Univ Sao Paulo, Dept Stat, BR-05508090 Sao Paulo - Brazil
[3] PUC Rio de Janeiro, Dept Phys, BR-22451900 Rio De Janeiro - Brazil
[4] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP - England
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 150, n. 2, p. 353-374, JAN 2013. |
| Web of Science Citations: | 4 |
| Abstract | |
We introduce a growth process which samples sections of uniform infinite causal triangulations by elementary moves in which a single triangle is added. A relation to a random walk on the integer half line is shown. This relation is used to estimate the geodesic distance of a given triangle to the rooted boundary in terms of the time of the growth process and to determine from this the fractal dimension. Furthermore, convergence of the boundary process to a diffusion process is shown leading to an interesting duality relation between the growth process and a corresponding branching process. (AU) | |
| FAPESP's process: | 10/05891-2 - Probabilistic aspects of causal dynamical triangulations: percolation |
| Grantee: | Anatoli Iambartsev |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |