Divergence points in free semigroup actions
Abstract In this paper, we investigate irregular sets in free semigroup actions from the perspective of topology. More precisely, we prove that irregular set for free semigroup with the specification property carries full capacity pressure (introduced by Xiao and Ma (2023 J. Dyn. Differ. Equ. 35 199–236)) provided it is not empty. Moreover, we show the irregular set is residual if it is not empty.
Authors
- Dongkui Ma (ORCID: https://orcid.org/0000-0002-6958-0213)
- Qian Xiao (ORCID: https://orcid.org/0009-0009-2209-3168)
Institutions
- Southwest University (CN)
- South China University of Technology (CN)
Publication Details
- Journal
- Nonlinearity
- Published
- 2025-09-23
- DOI
- https://doi.org/10.1088/1361-6544/ae028d
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00