TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL VOTER MODELS

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 momen...

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Bibliographic Details
Main Authors: Brahim Belhaouari, samir, MOUNTFORD, Thomas
Format: Article
Language:English
Published: 2005
Subjects:
Online Access:http://scholars.utp.edu.my/id/eprint/2723/
http://scholars.utp.edu.my/id/eprint/2723/1/Samir_brahim_paper_1.pdf