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arXiv · 2102.05841

J-Stability in non-archimedean dynamics

Robert L. Benedetto·Junghun Lee
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Abstract

Let $C_v$ be a complete, algebraically closed non-archimedean field, and let $f \in C_v(z)$ be a rational function of degree $d \geq 2$. If $f$ satisfies a bounded contraction condition on its Julia set, we prove that small perturbations of $f$ have dynamics conjugate to those of $f$ on their Julia sets.

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Robert L. Benedetto, Junghun Lee. 2021-02-11. J-Stability in non-archimedean dynamics. https://arxiv.org/abs/2102.05841

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