English

Fractality and Lapidus zeta functions at infinity

Mathematical Physics 2023-04-27 v2 math.MP

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.

Cite

@article{arxiv.1510.06449,
  title  = {Fractality and Lapidus zeta functions at infinity},
  author = {Goran Radunović},
  journal= {arXiv preprint arXiv:1510.06449},
  year   = {2023}
}

Comments

19 pages, 1 figure

R2 v1 2026-06-22T11:26:07.329Z