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math.PR2018
A law of large numbers for the range of rotor walks on periodic trees
Wilfried Huss, Ecaterina Sava-Huss
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 per…
math.PR2018
Range and speed of rotor walks on trees
Wilfried Huss, Ecaterina Sava-Huss
We prove a law of large numbers for the range of rotor walks with random initial configuration on regular trees and on Galton-Watson trees. More precisely, we show that on the clas…