Superdiffusive bounds on self-repellent precesses in $d=2$ — extended abstract

Tóth, Bálint; Valkó, Benedek

doi:10.5802/acirm.23

Superdiffusive bounds on self-repellent precesses in

d = 2

— extended abstract

Bálint Tóth; Benedek Valkó

Actes des rencontres du CIRM, Volume 2 (2010) no. 1, p. 39-41

Abstract

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).

Published online : 2011-01-03
DOI : https://doi.org/10.5802/acirm.23

@article{ACIRM_2010__2_1_39_0,
     author = {B\'alint T\'oth and Benedek Valk\'o},
     title = {Superdiffusive bounds on self-repellent precesses in $d=2$ --- extended abstract},
     journal = {Actes des rencontres du CIRM},
     publisher = {CIRM},
     volume = {2},
     number = {1},
     year = {2010},
     pages = {39-41},
     doi = {10.5802/acirm.23},
     language = {en},
     url = {https://acirm.centre-mersenne.org/item/ACIRM_2010__2_1_39_0}
}

Tóth, Bálint; Valkó, Benedek. 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://acirm.centre-mersenne.org/item/ACIRM_2010__2_1_39_0/

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