Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 503-522

ON MULTIFRACTAL SPECTRUM OF QUASICONFORMAL MAPPINGS

Lauri Hitruhin

University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 University of Helsinki, Finland; lauri.hitruhin 'at' helsinki.fi

Abstract. We study the multifractal spectra of quasiconformal mappings, which means that we are interested in the maximum size of the sets in which quasiconformal mapping stretches and rotates according to given parameters. We construct examples of quasiconformal mappings which improve a previous result from [2] in the sense of Hausdorff measure.

2010 Mathematics Subject Classification: Primary 30C62, 28A78.

Key words: Quasiconformal, Hausdorff measure, multifractal spectrum.

Reference to this article: L. Hitruhin: On multifractal spectrum of quasiconformal mappings. Ann. Acad. Sci. Fenn. Math. 41 (2016), 503-522.

Full document as PDF file

doi:10.5186/aasfm.2016.4138