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PreprintCC BY 4.0arXiv

Finite Stick Breaking Sequences

Abstract

In 1949, De Bruijn and Erdős considered infinite stick-breaking sequences. In this work, we consider finite sequences and prove that an infinite sequence that is due to De Bruijn, Erdős, and Toulmin is in some sense unique.

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BibTeX
@misc{brethouwer2026finite,
  title = {{Finite Stick Breaking Sequences}},
  author = {Jan-Tino Brethouwer and Anne Buijsrogge and Robbert Fokkink},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05067},
  eprint = {2610.05067},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05067},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Finite Stick Breaking Sequences
AU  - Jan-Tino Brethouwer
AU  - Anne Buijsrogge
AU  - Robbert Fokkink
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2610.05067
UR  - https://arxiv.org/abs/2610.05067
AB  - In 1949, De Bruijn and Erdős considered infinite stick-breaking sequences. In this work, we consider finite sequences and prove that an infinite sequence that is due to De Bruijn, Erdős, and Toulmin is in some sense unique.
ER  -