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 scal...

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Bibliographic Details
Main Authors: Brahim Belhaouari, samir, Mountford, Thomas
Format: Article
Published: 2006
Subjects:
Online Access:http://eprints.utp.edu.my/2714/1/Samir_brahim_paper_2.pdf
http://eprints.utp.edu.my/2714/
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