Dirr, Nicolas P., 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. |
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Official URL: http://ecp.ejpecp.org/article/view/1521
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 |
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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: | 04 Jun 2017 02:52 |
URI: | http://orca.cf.ac.uk/id/eprint/13074 |
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