A law of large numbers for the range of rotor walks on periodic trees
arXiv:1805.11983
Abstract
The aim of the current work is to prove a law of large numbers for the range size of recurrent rotor walks with random initial configuration on a general class of trees, called periodic trees or directed covers of graphs.
New references added; 21 pages, 1 figure. Appendix on rotor-recurrent trees that contain rotor-transient subtrees. arXiv admin note: text overlap with arXiv:1203.1477