TY - JOUR
AU1 - Gomes, Pablo A.
AU2 - Pereira, Alan
AU3 - Sanchis, Remy
AB - We consider inhomogeneous non-oriented Bernoulli bond percolation on Zd\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathbb {Z}^d$$\end{document}, where each edge has a parameter depending on its direction. We prove that, under certain conditions, if the sum of the parameters is strictly greater than 1/2, we have percolation in sufficiently high dimensions. The main tool is a dynamical coupling between models for different dimensions with different sets of parameters.
TI - Anisotropic Non-oriented Bond Percolation in High Dimensions
JF - Journal of Theoretical Probability
DO - 10.1007/s10959-023-01254-9
DA - 2024-03-01
UR - https://www.deepdyve.com/lp/springer-journals/anisotropic-non-oriented-bond-percolation-in-high-dimensions-eeKjCi2ctG
SP - 121
EP - 132
VL - 37
IS - 1
DP - DeepDyve
ER -