2 papers
math.CA2025
The multifractal nature of a parametrized family of von Koch functions
Zoltán Buczolich, Yann Demichel, Stéphane Seuret
In a famous paper published in 1904, Helge von Koch introduced the curve that still serves nowadays as an iconic representation of fractal shapes. In fact, von Koch's main goal was…
math.PR2024
Fractal random sets associated with multitype Galton-Watson trees
Pierre Calka, Yann Demichel
In this paper, we consider a regular tessellation of the Euclidean plane and the sequence of its geometric scalings by negative powers of a fixed integer. We generate iteratively r…