Kai Rajala

activity

20232026

most citedConformal Uniformization of Domains Bounded by Quasitripods

1 citations · 1 across the 6 of their papers we have counts for

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math.CV2024

Rigid circle domains with non-removable boundaries

Kai Rajala

We give a negative answer to the rigidity conjecture of He and Schramm by constructing a rigid circle domain $Ω$ on the Riemann sphere with conformally non-removable boundary. Here…

math.MG2024

Definitions of quasiconformality on metric surfaces

Damaris Meier, Kai Rajala

We explore the interplay between different definitions of distortion for mappings $f : X \to R^{2}$ , where $X$ is any metric surface, meaning that $X$ is homeomorphic to…

math.CV2024★ 1 cited

Conformal Uniformization of Domains Bounded by Quasitripods

Behnam Esmayli, Kai Rajala

We prove Koebe's conjecture and a version of Schramm's cofat uniformization theorem for domains $Ω \subset C$ satisfying conditions involving quasitripods, i.e., quasisymmet…