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On the probability that selfavoiding walk ends at a given point 

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Year  2013  
Abstract  We prove two results on the delocalization of the endpoint of a uniform selfavoiding walk on Z^d for d>1. We show that the probability that a walk of length n ends at a point x tends to 0 as n tends to infinity, uniformly in x. Also, for any fixed x in Z^d, this probability decreases faster than n^{1/4 + epsilon} for any epsilon >0. When x= 1, we thus obtain a bound on the probability that selfavoiding walk is a polygon.  
Identifiers  arXiv: 1305.1257  
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Citation (ISO format)  DUMINILCOPIN, Hugo et al. On the probability that selfavoiding walk ends at a given point. 2013. https://archiveouverte.unige.ch/unige:30543 