2 papers
math.CA2022
Hölder continuity and dimensions of fractal Fourier series
Efstathios Konstantinos Chrontsios Garitsis, AJ Hildebrand
Motivated by applications in number theory, analysis, and fractal geometry, we consider regularity properties and dimensions of graphs associated with Fourier series of the form $F…
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…