Title
On the critical probability of percolation on random causal triangulations
Date Issued
01 January 2017
Access level
open access
Resource Type
journal article
Author(s)
Universidade Federal de Pernambuco
Publisher(s)
Brazilian Statistical Association
Abstract
In this work, we study bond percolation on random causal triangulations. While in the sub-critical regime there is no phase transition, we show that for percolation on critical random causal triangulations there exists a non-trivial phase transition and we compute an upper bound for the critical probability. Furthermore, the critical value is shown to be almost surely constant.
Start page
215
End page
228
Volume
31
Issue
2
Language
English
OCDE Knowledge area
Estadísticas, Probabilidad
Subjects
Scopus EID
2-s2.0-85018572778
Source
Brazilian Journal of Probability and Statistics
ISSN of the container
01030752
Source funding
Lockheed Martin
Sponsor(s)
J. Cerda-Hernández would like to thank the FAPESP, 2014/18810-1 foundation for the financial support, IMECC at the University of Campinas for warm hospitality. The work of A. Yambartsev was partly supported by CNPq 308510/2010-0. S. Zohren is currently funded by Lockheed Martin, Nokia and the University of Oxford.
Sources of information:
Directorio de Producción Científica
Scopus