19 citations · 43 across the 5 of their papers we have counts for
5 papers
Essential singularities of fractal zeta functions
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
We study the essential singularities of geometric zeta functions , associated with bounded fractal strings . For any three prescribed real numbers $D_{\…
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…
Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
We study meromorphic extensions of distance and tube zeta functions, as well as of geometric zeta functions of fractal strings. The distance zeta function $ζ_A(s):=\int_{A_δ} d(x,A…
Distance and tube zeta functions of fractals and arbitrary compact sets
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
Recently, the first author has extended the definition of the zeta function associated with fractal strings to arbitrary bounded subsets of the -dimensional Euclidean space…
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
We establish pointwise and distributional fractal tube formulas for a large class of compact subsets of Euclidean spaces of arbitrary dimensions. These formulas are expressed as su…