Localization of a vertex reinforced random walk on $$\mathbb{Z }$$ with sub-linear weight-Reference-Cited by-同舟云学术

Localization of a vertex reinforced random walk on $$\mathbb{Z }$$ with sub-linear weight

Published:2013-04-27 Issue:1-2 Volume:159 Page:75-115
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Basdevant Anne-Laure,Schapira Bruno,Singh Arvind

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00440-013-0502-3.pdf

Reference13 articles.

1. Basdevant, A.-L., Schapira, B., Singh, A.: Localization on 4 sites for vertex reinforced random walk on $${\mathbb{Z}}$$ . Ann. Probab. arXiv:1201.0658 (to appear)

2. Bingham, N., Goldie, C., Teugels, J.: Regular Variation, Encyclopedia of Mathematics and its Applications, vol. 27. Cambridge University Press, Cambridge (1989)

3. Davis, B.: Reinforced random walk. Probab. Theory Related Fields 84, 203–229 (1990)

4. Erschler, A., Tóth, B., Werner, W.: Some locally self-interacting walks on the integers. Probability in Complex Physical Systems, pp. 313–338 (2012)

5. Erschler, A., Tóth, B., Werner, W.: Stuck Walks. Probab. Theory Related Fields 154, 149–163 (2012)

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