4 papers
Review of Steiner formulas in Fractal Geometry via Support measures and Complex Dimensions
Goran RadunoviÄ
We review the theoretical framework that establishes a crucial bridge between the general Steiner-type formula of Hug, Last, and Weil and the theory of complex (fractal) dimensions…
Fractal analysis of slow-fast and regular systems: A survey of recent results and future perspectives
Renato Huzak, Goran RadunoviÄ, Vesna ŽupanoviÄ
We survey recent developments in fractal analysis of regular and slow-fast dynamical systems using Minkowski dimension. Our focus is on spiral trajectories near monodromic limit pe…
Support measures in fractal geometry
Goran RadunoviÄ, Steffen Winter
We introduce two novel families of geometric functionals-basic contents and support contents-for investigating the fractal properties of compact subsets in Euclidean space. These f…
Fractal zeta functions at infinity and the -shell Minkowski content
Goran RadunoviÄ
We study fractal properties of unbounded domains with infinite Lebesgue measure via their complex fractal dimensions. These complex dimensions are defined as poles of a suitable de…