PreprintarXiv licencearXiv
Relative mean sensitivity and relative entropy under group actions
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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BibTeX
@misc{ouyang2026relative,
title = {{Relative mean sensitivity and relative entropy under group actions}},
author = {Wenqi Ouyang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13817},
eprint = {2609.13817},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13817},
}
RIS
TY - UNPB
TI - Relative mean sensitivity and relative entropy under group actions
AU - Wenqi Ouyang
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2609.13817
UR - https://arxiv.org/abs/2609.13817
AB - 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.
ER -