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Hauptverfasser: Agoro, Atakora, Fletcher, Alastair N.
Format: Preprint
Veröffentlicht: 2026
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Online-Zugang:https://arxiv.org/abs/2605.28470
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author Agoro, Atakora
Fletcher, Alastair N.
author_facet Agoro, Atakora
Fletcher, Alastair N.
contents Dobbs proved that the second iterate of almost every line in the complex plane under the exponential function is dense in the plane. In this paper, we prove an analogous result for the second iterate of the Zorich map in $\mathbb{R}^3$.
format Preprint
id arxiv_https___arxiv_org_abs_2605_28470
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Line, Spiral, Dense in Space
Agoro, Atakora
Fletcher, Alastair N.
Complex Variables
Dobbs proved that the second iterate of almost every line in the complex plane under the exponential function is dense in the plane. In this paper, we prove an analogous result for the second iterate of the Zorich map in $\mathbb{R}^3$.
title Line, Spiral, Dense in Space
topic Complex Variables
url https://arxiv.org/abs/2605.28470