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Relative mean sensitivity and relative entropy under group actions

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.13817

Author: Ouyang, Wenqi

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213368867

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