Some Locally Self-Interacting Walks on the Integers

Author:

Erschler Anna,Tóth Bálint,Werner Wendelin

Publisher

Springer Berlin Heidelberg

Reference8 articles.

1. Erschler, A., Tóth, B., Werner, W.: Stuck walks. Probability Theory and related fields http://ariv.org/abs/1011.1103 (to appear, 2010)

2. Landim, C., Quastel, J., Salmhofer, M., Yau, H.-T.: Superdiffusivity of asymmetric exclusion process in dimensions one and two. Commun. Math. Phys. 244, 455–481 (2004)

3. Pemantle, R.: A survey of random processes with reinforcement. Prob. Surv. 4, 1–79 (2007)

4. Tarrès, P.: VRRW on Z eventually gets stuck at a set of five points. Ann. Prob. 32, 2650–2701 (2004)

5. Tarrès, P., Tóth, B., Valkó, B.: Diffusivity bounds for 1d Brownian polymers. Ann. Probab. http://arxiv.org/abs/0911.2356 (to appear, 2010)

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2. Large deviations and path properties of the true self-repelling motion;Bulletin de la Société mathématique de France;2018

3. Stuck walks: A conjecture of Erschler, Tóth and Werner;The Annals of Probability;2016-03-01

4. Localization of a vertex reinforced random walk on $$\mathbb{Z }$$ with sub-linear weight;Probability Theory and Related Fields;2013-04-27

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