engleski

Fractality and Lapidus zeta functions at infinity

We study fractality of unbounded sets of finite Lebesgue measure at infinity by introducing the notions of Minkowski dimension and content at infinity. We also introduce the Lapidus zeta function at infinity, study its properties and demonstrate its use in analysis of fractal properties of unbounded sets at infinity.

distance zeta function; relative fractal drum; box dimension; complex dimensions; Minkowski content; generalized Cantor set

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