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PreprintCC BY 4.0arXiv

Very sparse return sets in arithmetic dynamics

  • She Yang
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Abstract

When studying the dynamical Mordell-Lang conjecture by using the p-adic method, experts have found that return sets of the p-adic version of the DML problem can be very sparse. In this article, we investigate the similar phenomenon for a complex analytic version of the DML problem and the DML problem for backward orbits.

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Cite

BibTeXRIS
BibTeX
@misc{yang2026very,
  title = {{Very sparse return sets in arithmetic dynamics}},
  author = {She Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.32181},
  eprint = {2609.32181},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.32181},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Very sparse return sets in arithmetic dynamics
AU  - She Yang
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.32181
UR  - https://arxiv.org/abs/2609.32181
AB  - When studying the dynamical Mordell-Lang conjecture by using the p-adic method, experts have found that return sets of the p-adic version of the DML problem can be very sparse. In this article, we investigate the similar phenomenon for a complex analytic version of the DML problem and the DML problem for backward orbits.
ER  -