Bernoulli Hyperplane Percolation
Probability
2020-07-13 v1
Abstract
We study a dependent site percolation model on the -dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We extend the results about Bernoulli line percolation showing that the model undergoes a non-trivial phase transition and proving the existence of a transition from exponential to power-law decay within some regions of the subcritical phase.
Keywords
Cite
@article{arxiv.2007.05115,
title = {Bernoulli Hyperplane Percolation},
author = {Marco Aymone and Marcelo R. Hilário and Bernardo N. B. de Lima and Vladas Sidoravicius},
journal= {arXiv preprint arXiv:2007.05115},
year = {2020}
}
Comments
28 pages