Abstract

Berger asked the question “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.

中文翻译：

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稳定 $$p$$ -Adic 动力系统的刚性和不可能相交

摘要

Berger 提出了一个问题：“一个稳定的\(p\) -adic 幂级数的前周期点在多大程度上决定了一个稳定的\(p\) -adic 动力系统？” 在这项工作中，我们应用了稳定\(p\) -adic 幂级数的前周期点，以确定相应的稳定\(p\) -adic 动力系统。