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

Mabud Ali Sarkar; Absos Ali Shaikh

doi:10.1134/s2070046622020066

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arXiv · 2106.07745

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

Mabud Ali Sarkar·Absos Ali Shaikh

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Abstract

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

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Mabud Ali Sarkar, Absos Ali Shaikh. 2021-06-07. Rigidity and unlikely intersections for stable $p$-adic dynamical systems. https://doi.org/10.1134/s2070046622020066

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