@article{287cc514de43405eb789f02b812c9d35,
title = "Bilipschitz and quasiconformal rotation, stretching and multifractal spectra",
abstract = "We establish sharp bounds for simultaneous local rotation and H{\"o}lder-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.",
author = "Kari Astala and Tadeusz Iwaniec and Istv{\'a}n Prause and Eero Saksman",
note = "Funding Information: K.A. was supported by the Academy of Finland (SA) grant 75166001 and 1134757. T.I. was supported by NSF grant DMS-1301558 and SA 1128331. I.P. was supported by SA 138896 and SA 1266182. E.S. was supported by SA 113826, SA 118765 and by the Finnish CoE in Analysis and Dynamics Research. Publisher Copyright: {\textcopyright} 2014, IHES and Springer-Verlag Berlin Heidelberg.",
year = "2015",
month = jun,
day = "27",
doi = "10.1007/s10240-014-0065-6",
language = "English (US)",
volume = "121",
pages = "113--154",
journal = "Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques",
issn = "0073-8301",
publisher = "Springer Verlag",
number = "1",
}