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}
}
  • L. Hitruhin
  • Published 2016
  • Mathematics
  • Annales Academiae Scientiarum Fennicae. Mathematica
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… 
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  • Tyler Bongers
  • Mathematics
    Annales Academiae Scientiarum Fennicae Mathematica
  • 2019
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