Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Lipschitz percolation

Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Dondl, Patrick W., Grimmett, Geoffrey R., Holroyd, Alexander E. and Scheutzowv, Michael V. 2010. Lipschitz percolation. Electronic Communications in Probability 15 (2) , pp. 14-21.

[thumbnail of Dirr 2010.pdf]
Preview
PDF - Published Version
Available under License Creative Commons Attribution.

Download (139kB) | Preview

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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Percolation; Lipschitz embedding; Random surface
Additional Information: Pdf uploaded in accordance with publisher's policy at http://ecp.ejpecp.org/about/submissions#copyrightNotice (accessed 28/02/2014).
Publisher: Institute of Mathematical Statistics
ISSN: 1083-589X
Date of First Compliant Deposit: 30 March 2016
Last Modified: 06 May 2023 20:18
URI: https://orca.cardiff.ac.uk/id/eprint/13074

Citation Data

Cited 23 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics