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arXiv · 2509.01528

On Asymptotically Symmetric Embeddings and Conformal Maps

Ylli Andoni·Shanshuang Yang
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Abstract

This paper is devoted to the study of conformal maps of the unit disk $\mathbb{D}$ in the plane onto a bounded Jordan domain $G$. The main aim is to show that such a map is asymptotically symmetric if and only if $G$ is bounded by a symmetric quasicircle.

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Ylli Andoni, Shanshuang Yang. 2025-09-01. On Asymptotically Symmetric Embeddings and Conformal Maps. https://doi.org/10.1112/mtk.70112

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