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Voter model on Sierpinski fractals

Krzysztof Suchecki ,  Janusz A. Hołyst 

Warsaw University of Technology, Faculty of Physics and Cent.of Exc.for Complex Systems Research, Koszykowa 75, Warszawa 00-662, Poland

Abstract

We have investigated ordering of voter model on fractal lattices: Sierpinski Carpets and Sierpinski Gasket, with fractal dimensions between 1 and 2. A power law ordering, similar to the one-dimensional case has been observed. The dynamics responsible for the power law ordering is found to differ significantly for finite and infinite ramification order of investigated fractals.

 

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Related papers

Presentation: Oral at 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", Sociophysics, by Krzysztof Suchecki
See On-line Journal of 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2006-02-27 17:48
Revised:   2009-06-07 00:44