Research

Lipschitz percolation


Reference:

Dirr, N., Dondl, P. W., Grimmett, G. R., Holroyd, A. E. and Scheutzow, M., 2010. Lipschitz percolation. Electronic Communications in Probability, 15, Paper 2.

Related documents:

This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below. (Contact Author)

Abstract

We prove the existence of a (random) Lipschitz function F : Z(d-1) -> Z(+) such that, for every x is an element of Z(d-1), the site (x, F(x)) is open in a site percolation process on Z(d). The Lipschitz constant may be taken to be 1 when the parameter p of the percolation model is sufficiently close to 1.

Details

Item Type Articles
CreatorsDirr, N., Dondl, P. W., Grimmett, G. R., Holroyd, A. E. and Scheutzow, M.
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code17834

Export

Actions (login required)

View Item