Brazilian Journal of Probability and Statistics
- Braz. J. Probab. Stat.
- Volume 31, Number 2 (2017), 215-228.
On the critical probability of percolation on random causal triangulations
José Cerda-Hernández, Anatoly Yambartsev, and Stefan Zohren
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.
Article information
Source
Braz. J. Probab. Stat., Volume 31, Number 2 (2017), 215-228.
Dates
Received: December 2015
Accepted: February 2016
First available in Project Euclid: 14 April 2017
Permanent link to this document
https://projecteuclid.org/euclid.bjps/1492156960
Digital Object Identifier
doi:10.1214/16-BJPS310
Mathematical Reviews number (MathSciNet)
MR3635903
Zentralblatt MATH identifier
1372.82022
Keywords
Percolation causal triangulations phase transition
Citation
Cerda-Hernández, José; Yambartsev, Anatoly; Zohren, Stefan. On the critical probability of percolation on random causal triangulations. Braz. J. Probab. Stat. 31 (2017), no. 2, 215--228. doi:10.1214/16-BJPS310. https://projecteuclid.org/euclid.bjps/1492156960