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arXiv · 1402.6553

Self-avoiding walks on finite graphs of large girth

Ariel Yadin
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Abstract

We consider self-avoiding walk on finite graphs with large girth. We study a few aspects of the model originally considered by Lawler, Schramm and Werner on finite balls in Z^d. The expected length of a random self avoiding path is considered. We also define a "critical exponent" $\gamma$ for sequences of graphs of size tending to infinity, and show that $\gamma = 1$ in the large girth case.

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Ariel Yadin. 2014-02-26. Self-avoiding walks on finite graphs of large girth. https://arxiv.org/abs/1402.6553

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