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math.CV2019
Minimal degree rational open up mappings and related questions
Sergei Kalmykov, Béla Nagy, Olivier Sète
We establish the existence and uniqueness of rational conformal maps of minimal degree for opening up arcs. In earlier results, the degree was exponential in . We also…
math.CV2019★ 4 cited
Self-intersections of Laurent polynomials and the density of Jordan curves
Sergei Kalmykov, Leonid V. Kovalev
We extend Quine's bound on the number of self-intersection of curves with polynomial parameterization to the case of Laurent polynomials. As an application, we show that circle emb…