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Range and Speed of Rotor Walks on Trees

Author

Listed:
  • Wilfried Huss

    (ADB Safegate)

  • Ecaterina Sava-Huss

    (Graz University of Technology)

Abstract

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. We also show the existence of the speed for such rotor walks. More precisely, we show that on the classes of trees under consideration, even in the case when the rotor walk is recurrent, the range grows at linear speed.

Suggested Citation

  • Wilfried Huss & Ecaterina Sava-Huss, 2020. "Range and Speed of Rotor Walks on Trees," Journal of Theoretical Probability, Springer, vol. 33(3), pages 1657-1690, September.
    • Handle: RePEc:spr:jotpro:v:33:y:2020:i:3:d:10.1007_s10959-019-00904-1
    DOI: 10.1007/s10959-019-00904-1
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    Cited by:

    1. Kolesko, Konrad & Sava-Huss, Ecaterina, 2023. "Limit theorems for discrete multitype branching processes counted with a characteristic," Stochastic Processes and their Applications, Elsevier, vol. 162(C), pages 49-75.

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