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arXiv · 2609.27790

$Δ^*$-Mixing and Products of Full-Scattering Systems

Hui Xu
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Abstract

We resolve two questions posed by Huang and Ye concerning full-scattering systems. First, we construct a four-symbol subshift which is $Δ^*$-mixing but not full-scattering, thereby showing that $Δ^*$-mixing does not imply full-scattering. Second, we prove that every finite product of full-scattering systems is full-scattering.

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Hui Xu. 2026-08-17. $Δ^*$-Mixing and Products of Full-Scattering Systems. https://arxiv.org/abs/2609.27790

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