7 citations · 9 across the 5 of their papers we have counts for
5 papers
Continuity of the natural dimension of piecewise linear iterated function systems
R. D. Prokaj, P. Raith
We consider iterated function systems on the real line that consist of continuous, piecewise linear functions. We show that typically the natural dimension of these systems changes…
Fractal dimensions of continuous piecewise linear iterated function systems
R. D. Prokaj, P. Raith, K. Simon
We consider iterated function systems on the real line that consist of continuous, piecewise linear functions. Under a mild separation condition, we show that the Hausdorff and box…
F-equicontinuity and an Analogue of Auslander-Yorke Dichotomy Theorem
Hyonhui Ju, Jinhyon Kim, Songhun Ri +1
In this paper, we introduce an -equi\-con\-ti\-nui\-ty and show an analogue of Auslander-Yorke dichotomy theorem for -sensitivity. Precisely, under the…
A-coupled-expanding and distributional chaos
Cholsan Kim, Hyonhui Ju, Peter Raith
The concept of A-coupled-expanding map, which is one of the more natural and useful ideas generalized the horseshoe map, is well known as a criterion of chaos. It is well known tha…
Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A-coupled expanding systems
Hyonhui Ju, Jinhyon Kim, Peter Raith
In this paper we consider Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including -coupled expanding systems. We prove that Li-Yorke pairs…