Original scientific paper

Fractality and Lapidus zeta functions at infinity

Goran Radunović ; Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia

Abstract

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.

Keywords

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

Hrčak ID:

170380

URI

https://hrcak.srce.hr/170380

Publication date:

11.11.2016.

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