We prove superdiffusivity with multiplicative logarithmic corrections for a class of models of random walks and diffusions with long memory. The family of models includes the “true” (or “myopic”) self-avoiding random walk, self-repelling Durrett-Rogers polymer model and diffusion in the curl-field of (mollified) massless free Gaussian field in 2D. We adapt methods developed in the context of bulk diffusion of ASEP by Landim-Quastel-Salmhofer-Yau (2004).
@article{ACIRM_2010__2_1_39_0,
author = {B\'alint T\'oth and Benedek Valk\'o},
title = {Superdiffusive bounds on self-repellent precesses in $d=2$ {\textemdash} extended abstract},
journal = {Actes des rencontres du CIRM},
pages = {39--41},
publisher = {CIRM},
volume = {2},
number = {1},
year = {2010},
doi = {10.5802/acirm.23},
zbl = {06938571},
language = {en},
url = {https://pmb.cedram.org/articles/10.5802/acirm.23/}
}
TY - JOUR AU - Bálint Tóth AU - Benedek Valkó TI - Superdiffusive bounds on self-repellent precesses in $d=2$ — extended abstract JO - Actes des rencontres du CIRM PY - 2010 SP - 39 EP - 41 VL - 2 IS - 1 PB - CIRM UR - https://pmb.cedram.org/articles/10.5802/acirm.23/ DO - 10.5802/acirm.23 LA - en ID - ACIRM_2010__2_1_39_0 ER -
%0 Journal Article %A Bálint Tóth %A Benedek Valkó %T Superdiffusive bounds on self-repellent precesses in $d=2$ — extended abstract %J Actes des rencontres du CIRM %D 2010 %P 39-41 %V 2 %N 1 %I CIRM %U https://pmb.cedram.org/articles/10.5802/acirm.23/ %R 10.5802/acirm.23 %G en %F ACIRM_2010__2_1_39_0
Bálint Tóth; Benedek Valkó. Superdiffusive bounds on self-repellent precesses in $d=2$ — extended abstract. Actes des rencontres du CIRM, Volume 2 (2010) no. 1, pp. 39-41. doi : 10.5802/acirm.23. https://pmb.cedram.org/articles/10.5802/acirm.23/
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