| Two-sided SLE8=3 and the Infinite Self-Avoiding Polygon (2008) | |||||||||||||
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| Abstract In this paper we construct two-sided SLE8=3 and describe why it is a model of the infinite self-avoiding polygon. 1 Introduction The Schramm-Loewner evolution, SLE^, as introudced in [9], is a candidate for scaling limits of random paths at criticality in two dimensions. Different values of ^ correpond to different systems. One value of particular importance is ^ = 8=3, and the corresponding system is conjectured to be the limit of the self-avoiding walk. Trying to understand this led to the definition of the restriction property [6], and then the (nonrigorous) identification of the limit for self-avoiding walks. | |||||||||||||
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