Annealed upper tails for the energy of a charged polymer

Amine Asselah

Annales de l'I.H.P. Probabilités et statistiques (2011)

  • Volume: 47, Issue: 1, page 80-110
  • ISSN: 0246-0203

Abstract

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We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider annealed estimates, that is when we average over both randomness, in dimension three or more. We obtain a large deviation principle, and an explicit rate function for a large class of charge distributions.

How to cite

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Asselah, Amine. "Annealed upper tails for the energy of a charged polymer." Annales de l'I.H.P. Probabilités et statistiques 47.1 (2011): 80-110. <http://eudml.org/doc/240166>.

@article{Asselah2011,
abstract = {We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider annealed estimates, that is when we average over both randomness, in dimension three or more. We obtain a large deviation principle, and an explicit rate function for a large class of charge distributions.},
author = {Asselah, Amine},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random polymer; large deviations; random walk in random scenery; self-intersection local times},
language = {eng},
number = {1},
pages = {80-110},
publisher = {Gauthier-Villars},
title = {Annealed upper tails for the energy of a charged polymer},
url = {http://eudml.org/doc/240166},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Asselah, Amine
TI - Annealed upper tails for the energy of a charged polymer
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2011
PB - Gauthier-Villars
VL - 47
IS - 1
SP - 80
EP - 110
AB - We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider annealed estimates, that is when we average over both randomness, in dimension three or more. We obtain a large deviation principle, and an explicit rate function for a large class of charge distributions.
LA - eng
KW - random polymer; large deviations; random walk in random scenery; self-intersection local times
UR - http://eudml.org/doc/240166
ER -

References

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  2. [2] A. Asselah. Shape transition under excess self-intersection for transient random walk. Ann. Henri Poincaré. To appear. Zbl1202.60151MR2641778
  3. [3] A. Asselah. Large deviations principle for self-intersection local times for simple random walk in dimension d &gt; 4. ALEA 6 (2009) 281–322. Zbl1135.60340MR2544599
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  12. [12] G. Giacomin. Random Polymer Models. Imperial College Press, London, 2007. Zbl1125.82001MR2380992
  13. [13] R. van der Hofstad and W. König. A survey of one-dimensional random polymers. J. Statist. Phys. 103 (2001) 915–944. Zbl1126.82313MR1851362
  14. [14] F. den Hollander. Random Polymers. Lecture Notes in Mathematics 1974. Springer, Berlin, 2009. Zbl1173.82002MR2504175
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  16. [16] A. Nagaev. Integral limit theorems for large deviations when Cramer’s condition is not fulfilled. Teor. Verojatnost. i Primenen. 14 (1969) 51–64, 203–216 (in Russian). Zbl0181.45004MR247652
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