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Transience and recurrence of rotor-router walks on directed covers of graphs


 
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1. Title Title of document Transience and recurrence of rotor-router walks on directed covers of graphs
 
2. Creator Author's name, affiliation, country Wilfried Huss; Vienna University of Technology; Austria
 
2. Creator Author's name, affiliation, country Ecaterina Sava; Graz University of Technology; Austria
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) graphs; directed covers; rotor-router walks; multitype branching process; recurrence; transience
 
3. Subject Subject classification 05C05; 05C25; 82C20
 
4. Description Abstract The aim of this note is to extend the result of Angel and Holroyd concerning the transience and the recurrence of transfinite rotor-router walks, for random initial configuration of rotors on homogeneous trees. We address the same question on directed covers of finite graphs, which are also called trees with finitely many cone types or periodic trees. Furthermore, we provide an example of a directed cover such that the rotor-router walk can be either recurrent or transient, depending only on the planar embedding of the periodic tree. An Erratum is available in ECP volume 19, paper 71, (2014).
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-09-22
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/2096
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-2096
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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