Abstract
In this paper, we study the energy of the polymer {S1,⋯,Sn} equipped with random electrical charges {ω1,⋯,ωn}: Hn=∑1≤i<j≤nωiωjI{Si=Sj} where {Sn} is a symmetric random walk in Z in the domain of attraction of the symmetric α-stable process. Based on the large deviation result of the local time of α-stable random walk and the Gärtner–Ellis theorem, we get the moderate deviations for Hn.
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