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math.CV2023
Quasiregular distortion of dimensions
Efstathios Konstantinos Chrontsios Garitsis
We investigate the distortion of the Assouad dimension and (regularized) spectrum of sets under planar quasiregular maps. While the respective results for the Hausdorff and upper b…
math.CV2023
A geometric property of quadrilaterals
Efstathios Konstantinos Chrontsios Garitsis, Aimo Hinkkanen
Quadrilaterals in the complex plane play a significant part in the theory of planar quasiconformal mappings. Motivated by the geometric definition of quasiconformality, we prove th…