19 citations · 74 across the 11 of their papers we have counts for
3 papers · 1 filter
Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
We establish a Minkowski measurability criterion for a large class of relative fractal drums (or, in short, RFDs), in Euclidean spaces of arbitrary dimension in terms of their comp…
Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
We establish pointwise and distributional fractal tube formulas for a large class of relative fractal drums in Euclidean spaces of arbitrary dimensions. A relative fractal drum (or…
Zeta Functions and Complex Dimensions of Relative Fractal Drums: Theory, Examples and Applications
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
In 2009, the first author introduced a new class of zeta functions, called `distance zeta functions', associated with arbitrary compact fractal subsets of Euclidean spaces of arbit…