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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Main Authors: | B. Belhouari, Samir, Mountford, Thomas, Sun, Rongfeng, Valle, G. |
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Format: | Article |
Published: |
Department of Mathematics, University of Washington, Seattle, USA
2006
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Online Access: | http://eprints.utp.edu.my/2718/1/Samir_brahim_paper_2.pdf http://eprints.utp.edu.my/2718/ |
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