Quantitative recurrence and the shrinking target problem for overlapping iterated function systems

In this paper we study quantitative recurrence and the shrinking target problem for dynamical systems coming from overlapping iterated function systems. Such iterated function systems have the important property that a point often has several distinct choices of forward orbit. As is demonstrated in...

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Bibliographic Details
Main Authors: Simon Baker, Henna Koivusalo
Format: Default Article
Published: 2024
Subjects:
Applied mathematics
Mathematical physics
Pure mathematics
General Mathematics
Fractal Geometry
Self-affine sets
Recurrence
Shrinking targets
Online Access:https://hdl.handle.net/2134/25102016.v1
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