Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.27790

Author: Xu, Hui

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214157144

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