Browsing 2016 by Subject "Analytic curve"

Now showing items 1-2 of 2

    • 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 γ:(a,b)→C, the set of values approaches by γ(t), as t↘a and as t↗b can be any two continuua of C∪{∞}.

    • 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 C, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic ...