## Electronic Journal of Probability

### On some generalized reinforced random walk on integers

#### Abstract

We consider Reinforced Random Walks where transitions probabilities are a function of the proportions of times the walk has traversed an edge. We give conditions for recurrence or transience. A phase transition is observed, similar to Pemantle [7] on trees

#### Article information

Source
Electron. J. Probab., Volume 14 (2009), paper no. 60, 1770-1789.

Dates
Accepted: 24 August 2009
First available in Project Euclid: 1 June 2016

https://projecteuclid.org/euclid.ejp/1464819521

Digital Object Identifier
doi:10.1214/EJP.v14-685

Mathematical Reviews number (MathSciNet)
MR2535013

Zentralblatt MATH identifier
1196.60054

Subjects
Primary: 60F20: Zero-one laws

Rights

#### Citation

Raimond, Olivier; Schapira, Bruno. On some generalized reinforced random walk on integers. Electron. J. Probab. 14 (2009), paper no. 60, 1770--1789. doi:10.1214/EJP.v14-685. https://projecteuclid.org/euclid.ejp/1464819521

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