Vertex-reinforced random walk on Z with sub-square-root weights is recurrent

Jun Chen, Gady Kozma

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that vertex-reinforced random walk on Z with weight of order kα, 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.

Original languageEnglish
Pages (from-to)521-524
Number of pages4
JournalComptes Rendus Mathematique
Volume352
Issue number6
DOIs
StatePublished - Jun 2014

All Science Journal Classification (ASJC) codes

  • General Mathematics

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