期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2016
卷号：XIII
期号：2
页码：521-544
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider self-avoiding walk on finite graphs with large girth. Westudy a few aspects of the model originally considered by Lawler, Schramm andWerner on finite balls in Zd. The expected length of a random self avoiding pathis considered. We discuss possible definitions of “critical” behavior in the finitevolume setting. We also define a “critical exponent” for sequences of graphs ofsize tending to infinity, and show that = 1 in the large girth case.
关键词：Self-avoiding walk; large girth graphs; critical exponents.
