Convergence results and sharp estimates for the voter model interfaces

We study the evolution of the interface for the one-dimensional voter model. We show that if the random walk kernel associated with the voter model has finite th moment for some gamma> 3, then the evolution of the interface boundaries converge weakly to a Brownian motion under diffusive scali...

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Bibliographic Details
Main Authors: brahim belhaouari, samir, Thomas Mountford, TM, G. Valle, GV
Format: Citation Index Journal
Published: Institute of Mathematical Statistics. 2010
Subjects:
Online Access:http://eprints.utp.edu.my/2721/1/Samir_brahim_paper_2.pdf
http://eprints.utp.edu.my/2721/
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