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arXiv · 2407.19251

Pseudo-B\"ottcher components of the wandering set of inner mappings

Igor Yu. Vlasenko
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Abstract

This article explores the topology of Pseudo-B\"ottcher totally invariant connected components of the wandering set in dynamical systems generated by on-invertible inner (open surjective isolated) mappings of compact surfaces. We describe the possible topological types of these invariant connected subsets, which are more diverse then corresponding components of homeomorphisms.

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Igor Yu. Vlasenko. 2024-07-27. Pseudo-B\"ottcher components of the wandering set of inner mappings. https://arxiv.org/abs/2407.19251

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