ON THE SHORTEST DISTANCE BETWEEN ORBITS IN CONFORMAL ITERATED FUNCTION SYSTEMS
Abstract Recently, Barros et al. [‘On the shortest distance between orbits and the longest common substring problem’, Adv. Math. 344 (2019), 311–339] adopted a dynamical system perspective to study the decay of the shortest distance between orbits. We calculate the Hausdorff dimensions of the exceptional sets arising from the shortest distance between orbits in conformal iterated function systems.
Authors
- Saisai Shi (ORCID: https://orcid.org/0000-0003-2529-5397)
Institutions
- Anhui University of Finance and Economics (CN)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2025-11-11
- DOI
- https://doi.org/10.1017/s000497272510052x
- Citations
- 2
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 7.38