Work

On the Shortest Distance Between Orbits in Conformal Iterated Function Systems

Year: 2025

Type: article

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.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s000497272510052x

Author: SAISAI SHI

Institution: Anhui University of Finance and Economics

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

Funder: National Natural Science Foundation of China