TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL VOTER MODELS

Brahim Belhaouari, samir and MOUNTFORD, Thomas (2005) TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL VOTER MODELS. Proc. London Math. Soc. Page 1 of 22 C. pp. 1-22.

[thumbnail of Samir_brahim_paper_1.pdf] PDF
Samir_brahim_paper_1.pdf
Restricted to Registered users only

Download (236kB)

Abstract

We show that for the voter model on {0, 1}^Z corresponding to a random walk with kernel p(·) and starting from
unanimity to the right and opposing unanimity to the left, a tight interface between zeros and ones exists if
p(·) has finite second moment but does not if p(·) fails to have finite moment of order α for some α < 2.

Item Type: Article
Impact Factor: 0.9
Subjects: R Medicine > RZ Other systems of medicine
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Depositing User: Dr Samir Brahim Belhaouari
Date Deposited: 21 Sep 2010 00:38
Last Modified: 19 Jan 2017 08:27
URI: http://scholars.utp.edu.my/id/eprint/2723

Actions (login required)

View Item
View Item