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math.DS2026
On the Assouad dimension of Weierstrass function graphs
Efstathios Konstantinos Chrontsios Garitsis
The class of Weierstrass functions is one of the first class of examples of continuous and nowhere differentiable real functions. A challenging line of research has been…
math.DS2024
Sobolev mappings on metric spaces and Minkowski dimension
Efstathios Konstantinos Chrontsios Garitsis
We introduce the class of compactly Hölder mappings between metric spaces and determine the extent to which they distort the Minkowski dimension of a given set. These mappings are…