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math.CV2026
Quasiconformal distortion of the lower dimension and applications
Efstathios Konstantinos Chrontsios Garitsis, Jeremy T. Tyson
We study the distortion of the lower dimension and lower spectrum of sets under quasiconformal mappings. As an application, we verify weighted Hardy--Sobolev inequalities in Euclid…
math.CV2026
Analytic and quasiregular distortion of Nagata dimension
Manisha Garg, Jeremy T. Tyson
We study how analytic functions, and more generally quasiregular mappings, distort Nagata dimension. Quasiconformal mappings of domains preserve the Nagata dimension of compact sub…
math.CV2021
Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals
Efstathios Konstantinos Chrontsios Garitsis, Jeremy T. Tyson
We investigate the distortion of Assouad dimension and the Assouad spectrum under Euclidean quasiconformal maps. Our results complement existing conclusions for Hausdorff and box-c…