Relation between fractal dimension and convergence exponents

Year: 1984

Authors: Badii R., Politi A.

Autors Affiliation: Istituto Nazionale di Ottica, L. go E. Fermi 6, Firenze, Italy

Abstract: The convergence exponents α and β introduced by Grassberger for the box-counting algorithm are discussed. We show that α/(1 + β) is an estimate from above of the fractal dimension and we verify the relation in two cases.

Journal/Review: PHYSICS LETTERS A

Volume: 101 (4)      Pages from: 182  to: 184

KeyWords: fractal
DOI: 10.1016/0375-9601(84)90373-6

Citations: 5
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