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math.CV2023
Uniformly perfect sets, Hausdorff dimension, and conformal capacity
Oona Rainio, Toshiyuki Sugawa, Matti Vuorinen
Using the definition of uniformly perfect sets in terms of convergent sequences, we apply lower bounds for the Hausdorff content of a uniformly perfect subset of …
math.CV2023
Conformally invariant metrics and lack of Hölder continuity
Rahim Kargar, Oona Rainio
The modulus metric between two points in a subdomain of is defined in terms of moduli of curve families joining the boundary of the domain with a continuum…