Skip Navigation


Proceedings of the London Mathematical Society Advance Access originally published online on December 5, 2006
Proceedings of the London Mathematical Society 2007 94(2):421-442; doi:10.1112/plms/pdl016
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
94/2/421    most recent
pdl016v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (1)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Belhaouari, S.
Right arrow Articles by Valle, G.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2006 London Mathematical Society

Tightness for the interfaces of one-dimensional voter models

S. Belhaouari, T. Mountford and G. Valle

Département de Mathématiques
École Polytechnique Fédérale
1015 Lausanne
Switzerland
thomas.mountford{at}epfl.ch
samir.brahim{at}epfl.ch
glauco.valle{at}epfl.ch

Received 3 March 2005. Revision received 10 May 2006.

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 {alpha} for some {alpha} < 2.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.