Bilipschitz and quasiconformal rotation, stretching and multifractal spectra

Kari Astala, Tadeusz Iwaniec, István Prause, Eero Saksman

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We establish sharp bounds for simultaneous local rotation and Hölder-distortion of planar quasiconformal maps. In addition, we give sharp estimates for the corresponding joint quasiconformal multifractal spectrum, based on new estimates for Burkholder functionals with complex parameters. As a consequence, we obtain optimal rotation estimates also for bi-Lipschitz maps.

Original languageEnglish (US)
Pages (from-to)113-154
Number of pages42
JournalPublications Mathematiques de l'Institut des Hautes Etudes Scientifiques
Issue number1
StatePublished - Jun 27 2015

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Bilipschitz and quasiconformal rotation, stretching and multifractal spectra'. Together they form a unique fingerprint.

Cite this