Recurrent Rotor-Router Configurations

Details Recurrent Rotor-Router Configurations Recurrent Rotor-Router Configurations

2011-01-13

arxiv.org/abs/1101.2484v1

Mathematics

Combinatorics

10 pages

Scientific paper

We prove the existence of recurrent initial configurations for the rotor walk
on many graphs, including Z^d, and planar graphs with locally finite
embeddings. We also prove that recurrence and transience of rotor walks are
invariant under changes in the starting vertex and finite changes in the
initial configuration.

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