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A note on the limit law of one-sided tree destruction

Probability 2023-01-11 v1 Combinatorics

Abstract

This short note serves an addendum to the article "Destruction of very simple trees" by Fill, Kapur and Panholzer (2004). Therein, the limit law of one-sided tree destruction with a toll function was determined by its moment sequence. We add an identification of the limit law, using recent results of Bertoin (2022), in terms of the local time of a noise reinforced Bessel process.

Cite

@article{arxiv.2301.04025,
  title  = {A note on the limit law of one-sided tree destruction},
  author = {Markus Kuba and Alois Panholzer},
  journal= {arXiv preprint arXiv:2301.04025},
  year   = {2023}
}

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