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arXiv · 2609.13817

Relative mean sensitivity and relative entropy under group actions

Wenqi Ouyang
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Abstract

In this paper we introduce relative mean sensitivity both in topological and measure-theoretical settings under group actions. It turns out that relative positive entropy is relative mean $n$-sensitive between minimal systems; relative positive $μ$-entropy for an ergodic measure $μ$ is relative mean $μ$-$n$-sensitive.

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Wenqi Ouyang. 2026-09-12. Relative mean sensitivity and relative entropy under group actions. https://arxiv.org/abs/2609.13817

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