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.
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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 |
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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 |