English

Rigidity and unlikely intersections for stable $p$-adic dynamical systems

Number Theory 2023-06-07 v4

Abstract

Berger asked the question \enquote{To what extent the preperiodic points of a stable pp-adic power series determines a stable pp-adic dynamical system} ? In this work we have applied the preperiodic points of a stable pp-adic power series in order to determine the corresponding stable pp-adic dynamical system.

Keywords

Cite

@article{arxiv.2106.07745,
  title  = {Rigidity and unlikely intersections for stable $p$-adic dynamical systems},
  author = {Mabud Ali Sarkar and Absos Ali Shaikh},
  journal= {arXiv preprint arXiv:2106.07745},
  year   = {2023}
}

Comments

10 pages, comments are welcomed

R2 v1 2026-06-24T03:11:50.856Z