2 papers
math.DS2025
Hausdorff dimension of the Wedding cake type surfaces
Balázs Bárány, Manuj Verma
In this paper, we study the Hausdorff dimension of fractal interpolation surfaces (FISs) over a triangular domain. These FISs are known as `wedding cake surfaces'. These surfaces a…
math.DS2025
Hausdorff dimension of self-similar measures and sets with common fixed point structure
Balázs Bárány, Manuj Verma
In this paper, we study the Hausdorff dimension of self-similar measures and sets on the real line, where the generating iterated function system consists of some maps that share t…