19 citations · 43 across the 5 of their papers we have counts for
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math-ph2015★ 9 cited
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…
math-ph2015★ 19 cited
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…