Limit laws for the energy of a charged polymer
| dc.creator | Chen, Xia | |
| dc.date | 2008-08-22 | |
| dc.date.accessioned | 2026-07-07T09:57:55Z | |
| dc.date.available | 2026-07-07T09:57:55Z | |
| dc.description | In this paper we obtain the central limit theorems, moderate deviations and the laws of the iterated logarithm for the energy \[H_n=\sum_{1\le j<k\le n}ω_jω_k1_{\{S_j=S_k\}}\] of the polymer $\{S_1,...,S_n\}$ equipped with random electrical charges $\{ω_1,...,ω_n\}$. Our approach is based on comparison of the moments between $H_n$ and the self-intersection local time \[Q_n=\sum_{1\le j<k\le n}1_{\{S_j=S_k\}}\] run by the $d$-dimensional random walk $\{S_k\}$. As partially needed for our main objective and partially motivated by their independent interest, the central limit theorems and exponential integrability for $Q_n$ are also investigated in the case $d\ge3$. | |
| dc.description | Published in at http://dx.doi.org/10.1214/07-AIHP120 the Annales de l'Institut Henri Poincaré - Probabilités et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0808.3037 | |
| dc.identifier | http://arxiv.org/abs/0808.3037 | |
| dc.identifier | Annales de l'Institut Henri Poincaré - Probabilités et Statistiques 2008, Vol. 44, No. 4, 638-672 | |
| dc.identifier | doi:10.1214/07-AIHP120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167526 | |
| dc.subject | Probability | |
| dc.title | Limit laws for the energy of a charged polymer | |
| dc.type | text |