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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.

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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
Impact Factor:0.9
Subjects:R Medicine > RZ Other systems of medicine
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
ID Code:2723
Deposited By: Dr Samir Brahim Belhaouari
Deposited On:21 Sep 2010 00:38
Last Modified:19 Jan 2017 08:27

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