Published June 2014
| Submitted
Journal Article
Open
Vertex-reinforced random walk on ℤ with sub-square-root weights is recurrent
- Creators
- Chen, Jun
- Kozma, Gady
Chicago
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Abstract
We prove that vertex-reinforced random walk on ℤ with weight of order k^α, for α∈[0,1/2), is recurrent. This confirms a conjecture of Volkov for α<1/2. The conjecture for α∈[1/2,1) remains open.
Additional Information
© 2014 Académie des sciences. Published by Elsevier Masson SAS. Received 4 February 2014, Accepted 7 March 2014, Available online 13 May 2014. Presented by Jean-François Le Gall. We thank Ronen Eldan and Cyrille Lucas for many enlightening discussions. During the research, J.C. was a student at the Weizmann Institute of Science, supported by the Israel Science Foundation. G.K. is the incumbent of the Erica and Ludwig Jesselson chair, and was partially supported by the Israel Science Foundation.Attached Files
Submitted - 1401.1036v1.pdf
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Additional details
- Eprint ID
- 47298
- Resolver ID
- CaltechAUTHORS:20140717-121031396
- Israel Science Foundation
- Created
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2014-07-17Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field