# On multifractal spectrum of quasiconformal mappings

@article{Hitruhin2016OnMS, title={On multifractal spectrum of quasiconformal mappings}, author={Lauri Hitruhin}, journal={Annales Academiae Scientiarum Fennicae. Mathematica}, year={2016}, volume={41}, pages={503-522} }

which can be calculated to have stretch α and rotation γ at the origin along any sequence (rn). We can say, roughly speaking, that mapping f satisfies (1.1) at some point z if f stretches and rotates at this point z, along some scales that decrease to zero, like the mapping fα(1+iγ) does at the origin. Given a mapping f and parameters α, γ we denote by Ef = Ef,α,γ the set of points that satisfy (1.1). For the Hausdorff dimension of these sets the following sharp result is given in [2]. Theorem…

## 6 Citations

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