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math.MG2025
Review of Steiner formulas in Fractal Geometry via Support measures and Complex Dimensions
Goran Radunović
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…
math.DS2025
Fractal analysis of slow-fast and regular systems: A survey of recent results and future perspectives
Renato Huzak, Goran Radunović, Vesna Županović
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…
math.MG2025
Support measures in fractal geometry
Goran Radunović, 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…