A Class of Weakly Self-avoiding Walks
نویسندگان
چکیده
We define a class of weakly self-avoiding walks on the integers by conditioning a simple random walk of length n to have a p-fold self-intersection local time smaller than nβ, where 1 < β < (p+1)/2. We show that the conditioned paths grow of order nα, where α = (p− β)/(p− 1), and also prove a coarse large deviation principle for the order of growth.
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تاریخ انتشار 2008