Self-repelling walk on the Sierpiniski gasket

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,...

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Bibliografiske detaljer
Main Authors:	Hambly, B, Hattori, K, Hattori, T
Format:	Journal article
Sprog:	English
Udgivet:	2002

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