Tube formulas for relative fractal drums in Euclidean spaces via Lapidus zeta functions (CROSBI ID 627709)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Lapidus, Michel L. ; Radunović, Goran ; Žubrinić, Darko
engleski
Tube formulas for relative fractal drums in Euclidean spaces via Lapidus zeta functions
Relative fractal drums generalize the notion of fractal sets in Euclidean spaces of arbitrary dimension. We establish point wise and istributional fractal tube formulas for a large class of relative fractal drums. These fractal tube formulas are expressed as sums of residues of suitable meromorphic functions over the complex dimensions of the relative fractal drum under consideration (i.e., over the poles of its Lapidus zeta function which generalizes the well-known zeta function for fractal strings. These results generalize to higher dimensions the corresponding ones previously obtained for fractal strings by M. L. Lapidus and M. van Frankenhuijsen. We illustrate our results by several examples and apply them to obtain a new Minkowski measurability criterion.
fractal tube formula; Lapidus zeta function; Minkowski measurability
Poster je na konferenciji izložio Goran Radunović.
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Podaci o prilogu
2015.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
Fractals and Related Fields III
poster
19.09.2015-25.09.2015
Île de Porquerolles, Francuska