On iterated function systems with inverses
In this article we consider iterated function systems that contain inverse maps, which we call IFS with inverses. We show that the invariant measures for IFS with inverses agree with the invariant measures for associated graph-directed IFS under the suitable choice of weight.
Authors
- Yuki Takahashi (ORCID: https://orcid.org/0000-0002-8772-2772)
Institutions
- Saitama University (JP)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025415
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00