The cone percolation model on Galton-Watson and on spherically symmetric trees
Probability
2016-11-11 v3
Abstract
We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour, which started from the root of a tree, spreads out through an infinite number of its vertices. We present lower and upper bounds for the probability of that event, according to the distribution of the random variables that defines the radius of influence of each individual. We work with Galton-Watson branching trees (homogeneous and non-homogeneous) and spherically symmetric trees which includes homogeneous and periodic trees.
Keywords
Cite
@article{arxiv.1510.02821,
title = {The cone percolation model on Galton-Watson and on spherically symmetric trees},
author = {Valdivino Vargas Junior and Fábio Prates Machado and Krishnamurthi Ravishankar},
journal= {arXiv preprint arXiv:1510.02821},
year = {2016}
}
Comments
The project has been deeply edited and now have a new co-author