Browsing 1 - Oberwolfach Preprints (OWP) by Subject "Analytic curve"

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    • The Initial and Terminal Cluster Sets of an Analytic Curve 

      [OWP-2016-25] Gauthier, Paul Montpetit (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-21)
      For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$.

    • Spherical Arc-Length as a Global Conformal Parameter for Analytic Curves in the Riemann Sphere 

      [OWP-2016-21] Gauthier, Paul Montpetit; Nestoridis, Vassili; Papadopoulos, Athanase (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-11)
      We prove that for every analytic curve in the complex plane $\mathbb{C}$, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic ...