# Semidirected random polymers: Strong disorder and localization

Nikolaos Zygouras^{[1]}

- [1] Department of Statistics University of Warwick Coventry CV4 7AL, UK.

Actes des rencontres du CIRM (2010)

- Volume: 2, Issue: 1, page 47-48
- ISSN: 2105-0597

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topZygouras, Nikolaos. "Semidirected random polymers: Strong disorder and localization." Actes des rencontres du CIRM 2.1 (2010): 47-48. <http://eudml.org/doc/115852>.

@article{Zygouras2010,

abstract = {Semi-directed, random polymers can be modeled by a simple random walk on $Z^d$ in a random potential -$(\lambda +\beta \omega (x))_\{x\in Z^d\}$, where $\lambda >0$, $\beta >0$ and $\left(\,\omega (x)\,\right)_\{x\in Z^d\}$ 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.},

affiliation = {Department of Statistics University of Warwick Coventry CV4 7AL, UK.},

author = {Zygouras, Nikolaos},

journal = {Actes des rencontres du CIRM},

language = {eng},

month = {12},

number = {1},

pages = {47-48},

publisher = {CIRM},

title = {Semidirected random polymers: Strong disorder and localization},

url = {http://eudml.org/doc/115852},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Zygouras, Nikolaos

TI - Semidirected random polymers: Strong disorder and localization

JO - Actes des rencontres du CIRM

DA - 2010/12//

PB - CIRM

VL - 2

IS - 1

SP - 47

EP - 48

AB - Semi-directed, random polymers can be modeled by a simple random walk on $Z^d$ in a random potential -$(\lambda +\beta \omega (x))_{x\in Z^d}$, where $\lambda >0$, $\beta >0$ and $\left(\,\omega (x)\,\right)_{x\in Z^d}$ 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.

LA - eng

UR - http://eudml.org/doc/115852

ER -

## References

top- Giacomin, Giacomin; Lacoin, Hubert; Toninelli, Fabio L.; Marginal relevance of disorder for pinning models. Comm. Pure Appl. Math. 63 (2010) 233-265. Zbl1189.60173MR2588461
- Lacoin, Hubert; New bounds for the free energy of directed polymer in dimension 1+1 and 1+2. Comm. Math. Phys. 294 (2010) 471-503. Zbl1227.82098MR2579463
- Ioffe, Dmitry; Velenik, Yvan; Crossing random walks and stretched polymers at weak disorder. arXiv:1002.4289
- Vargas, Vincent; Strong localization and macroscopic atoms for directed polymers Prob. Theory Rel. Fields Volume 138, Numbers 3-4 (2007) Zbl1113.60097MR2299713
- Zygouras, N.; Strong disorder in semidirected random polymers. arxiv.org/abs/1009.2693 Zbl1290.82013

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