## Electronic Communications in Probability

### Monotone interaction of walk and graph: recurrence versus transience

#### Abstract

We consider recurrence versus transience for models of random walks on growing in time, connected subsets $\mathbb{G}_t$ of some fixed locally finite, connected graph, in which monotone interaction enforces such growth as a result of visits by the walk (or probes it sent), to the neighborhood of the boundary of $\mathbb{G}_t$.

#### Article information

Source
Electron. Commun. Probab., Volume 19 (2014), paper no. 76, 12 pp.

Dates
Accepted: 6 November 2014
First available in Project Euclid: 7 June 2016

https://projecteuclid.org/euclid.ecp/1465316778

Digital Object Identifier
doi:10.1214/ECP.v19-3607

Mathematical Reviews number (MathSciNet)
MR3283607

Zentralblatt MATH identifier
1307.60140

Rights

#### Citation

Dembo, Amir; Huang, Ruojun; Sidoravicius, Vladas. Monotone interaction of walk and graph: recurrence versus transience. Electron. Commun. Probab. 19 (2014), paper no. 76, 12 pp. doi:10.1214/ECP.v19-3607. https://projecteuclid.org/euclid.ecp/1465316778

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