The directed polymer in random environment models the behavior of a polymer chain in a solution with impurities. It is a particular case of random walk in random environment. In $1+1$ dimensional environment is has been shown by Petermann that this random walk is superdiffusive. We show superdiffusivity properties are reinforced were there are long ranged correlation in the environment and that super diffusivity also occurs in higher dimensions.
@article{ACIRM_2010__2_1_25_0, author = {Hubert Lacoin}, title = {Superdiffusivity for directed polymer in corelated random environment}, journal = {Actes des rencontres du CIRM}, pages = {25--26}, publisher = {CIRM}, volume = {2}, number = {1}, year = {2010}, doi = {10.5802/acirm.19}, zbl = {06938567}, language = {en}, url = {https://acirm.centre-mersenne.org/articles/10.5802/acirm.19/} }
TY - JOUR AU - Hubert Lacoin TI - Superdiffusivity for directed polymer in corelated random environment JO - Actes des rencontres du CIRM PY - 2010 DA - 2010/// SP - 25 EP - 26 VL - 2 IS - 1 PB - CIRM UR - https://acirm.centre-mersenne.org/articles/10.5802/acirm.19/ UR - https://zbmath.org/?q=an%3A06938567 UR - https://doi.org/10.5802/acirm.19 DO - 10.5802/acirm.19 LA - en ID - ACIRM_2010__2_1_25_0 ER -
Hubert Lacoin. Superdiffusivity for directed polymer in corelated random environment. Actes des rencontres du CIRM, Volume 2 (2010) no. 1, pp. 25-26. doi : 10.5802/acirm.19. https://acirm.centre-mersenne.org/articles/10.5802/acirm.19/
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