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Semidirected random polymers: Strong disorder and localization
Nikolaos Zygouras1
1 Department of Statistics University of Warwick Coventry CV4 7AL, UK.
Actes des rencontres du CIRM, Volume 2 (2010) no. 1, pp. 47-48.

Semi-directed, random polymers can be modeled by a simple random walk on Z d in a random potential -(λ+βω(x)) x∈Z d , where λ>0, β>0 and ω(x) x∈Z d is a collection of i.i.d., nonnegative random variables. We identify situations where the annealed and quenched costs, that the polymer pays to perform long crossings are different. In these situations we show that the polymer exhibits localization.

Published online:
DOI: 10.5802/acirm.25
Nikolaos Zygouras 1

1 Department of Statistics University of Warwick Coventry CV4 7AL, UK. 
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Nikolaos Zygouras. Semidirected random polymers: Strong disorder and localization. Actes des rencontres du CIRM, Volume 2 (2010) no. 1, pp. 47-48. doi : 10.5802/acirm.25. https://pmb.cedram.org/articles/10.5802/acirm.25/

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[5] Zygouras, N.; Strong disorder in semidirected random polymers. arxiv.org/abs/1009.2693 | Numdam | Zbl

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