Wed, 15 Apr 2026 (12:30h, room 2.59)

Goran Radunovic (University of Zagreb)

Abstract: Dirichlet-type integrals (DTIs) are a generalizations of the well-known Dirichlet series. I will give an overview of applications of DTIs in fractal geometry. Special cases of DTIs are the geometric, distance and tube zeta functions of Lapidus which were used to define complex fractal dimensions of arbitrary compact sets. Another application arises in extracting the basic and support scaling exponents which arise from the support measures of Hug, Last and Weil. Further applications of DTI techniques gives a way to extract finer details in the general Steiner formulas and formulate a Minkowski measurability criterion for some classes of sets.