Convergence results and sharp estimates for the voter model interfaces

• Main Authors: B. Belhouari, Samir, Mountford, Thomas, Sun, Rongfeng, Valle, G.
• Format: Article
• Published: Department of Mathematics, University of Washington, Seattle, USA 2006
• Subjects: RZ Other systems of medicine; QA75 Electronic computers. Computer science
• Online Access: http://eprints.utp.edu.my/2718/1/Samir_brahim_paper_2.pdf; http://eprints.utp.edu.my/2718/

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...