Moderate deviations for the energy of charged polymer

作者：Wang, Yanqing^*

来源：Statistics & Probability Letters, 2013, 83(4): 1078-1082.

DOI：10.1016/j.spl.2012.12.013

• Charged polymer
• Stable random walk
• Local time
• Moderate deviations

In this paper, we study the energy of the polymer {S-1, ... , S-n} equipped with random electrical charges {omega(1), ... , omega(n)}:
H-n = Sigma(1 <= i <= j <= n) omega(i)omega I-j({Si=Sj})
where {S-n} is a symmetric random walk in Z in the domain of attraction of the symmetric alpha-stable process. Based on the large deviation result of the local time of alpha-stable random walk and the Gartner Ellis theorem, we get the moderate deviations for H-n.

• 出版日期2013-4
• 单位中南财经政法大学