Limit laws for the energy of a charged polymer
Chen, Xia
Ann. Inst. H. Poincaré Probab. Statist., Tome 44 (2008) no. 2, p. 638-672 / Harvested from Project Euclid
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In this paper we obtain the central limit theorems, moderate deviations and the laws of the iterated logarithm for the energy ¶ Hn=∑1≤jωjωk1{Sj=Sk} ¶ of the polymer {S1, …, Sn} equipped with random electrical charges {ω1, …, ωn}. Our approach is based on comparison of the moments between Hn and the self-intersection local time ¶ Qn=∑1≤j1{Sj=Sk} ¶ run by the d-dimensional random walk {Sk}. As partially needed for our main objective and partially motivated by their independent interest, the central limit theorems and exponential integrability for Qn are also investigated in the case d≥3.
Publié le : 2008-08-15
Classification:  Charged polymer,  Self-intersection local time,  Central limit theorem,  Moderate deviation,  Laws of the iterated logarithm,  60F05,  60F10,  60F15 
@article{1217964114,
     author = {Chen, Xia},
     title = {Limit laws for the energy of a charged polymer},
     journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
     volume = {44},
     number = {2},
     year = {2008},
     pages = { 638-672},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1217964114}
}

Chen, Xia. Limit laws for the energy of a charged polymer. Ann. Inst. H. Poincaré Probab. Statist., Tome 44 (2008) no. 2, pp.  638-672. http://gdmltest.u-ga.fr/item/1217964114/