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math.CV2024
Extremal length and duality
Kai Rajala
Classical extremal length (or conformal modulus) is a conformal invariant involving families of paths on the Riemann sphere. In ``Extremal length and functional completion'', Fugle…
math.CV2010
Quasiconformal extension fields
Pekka Pankka, Kai Rajala
We consider extensions of differential fields of mappings and obtain a lower energy bound for quasiconformal extension fields in terms of the topological degree. We also consider t…