Abstract
We construct an example of a subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate. This answers a question of Amir and Yang (2022) in the negative.
Funding Statement
This research is supported by ERC consolidator grant 101001124 (UniversalMap), and by ISF grant 1294/19.
Acknowledgments
We are grateful to Asaf Nachmias for helpful discussions and Russ Lyons for pointing out an error in a previous draft. We are also grateful to the referees for their careful reading and valuable comments.
Citation
Pengfei Tang. "A subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate." Electron. Commun. Probab. 28 1 - 8, 2023. https://doi.org/10.1214/23-ECP544
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