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 language | English |
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Pages (from-to) | 521-524 |
Number of pages | 4 |
Journal | Comptes Rendus Mathematique |
Volume | 352 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2014 |
All Science Journal Classification (ASJC) codes
- General Mathematics