2 papers
math.CV2023
Analytic and Topological Nets
Kirill Lazebnik
We characterize which planar graphs arise as the pullback, under a rational map , of an analytic Jordan curve passing through the critical values of . We also prove that such…
math.CV2023
A Geometric Approach to Polynomial and Rational Approximation
Christopher J. Bishop, Kirill Lazebnik
We strengthen the classical approximation theorems of Weierstrass, Runge and Mergelyan by showing the polynomial and rational approximants can be taken to have a simple geometric s…