Self-repelling walk on the Sierpiniski gasket
We construct a one-parameter family of self-repelling processes on the Sierpiński gasket, by taking continuum limits of self-repelling walks on the pre-Sierpiński gaskets. We prove that our model interpolates between the Brownian motion and the self-avoiding process on the Sierpiński gasket. Namely,...
| Main Authors: | , , |
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
2002
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