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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Department of Mathematics, University of Washington, Seattle, USA
2006
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| Subjects: | |
| Online Access: | http://scholars.utp.edu.my/id/eprint/2718/ http://scholars.utp.edu.my/id/eprint/2718/1/Samir_brahim_paper_2.pdf |