3 papers
math.CA2026
On the revolving structure of the Lévy dragon and its linear transforms
Miguel Gonzalez-Carriedo, Kiko Kawamura, Jonathan Leung +1
Lévy's Dragon Curve is a well-known self-similar fractal, notable for its ability to tile the complex plane. We review a representation of the curve as a set of points given by com…
math.DS2024
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…
math.DS2023
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…