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The exponent for the mean square displacement of self-avoiding random walk on the Sierpinski gasket

Authors:

Institution:

1. Laboratory of Applied Mathematics and Mathematical Physics, Department of Information Science, Faculty of Engineering, Utsunomiya University, 321, Utsunomiya, Japan
2. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

Abstract:

The authors rigorously prove that the exponent for the mean square displacement of self-avoiding random walk on the Sierpinski gasket is

$\log 2/\log \left( {\frac{{7 - \sqrt 5 }}{2}} \right) = 0.79862 > 0.5 > \log 2/\log 5.$

Keywords:	Mathematics Subject Classifications" target="_blank">Mathematics Subject Classifications 60K35 82A99
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