15 citations · 16 across the 3 of their papers we have counts for
3 papers
math.CV2013
A solution to Sheil-Small's harmonic mapping problem for Jordan polygons
Daoud Bshouty, Erik Lundberg, Allen Weitsman
The problem of mapping the interior of a Jordan polygon univalently by the Poisson integral of a step function was posed by T. Sheil-Small (1989). We describe a simple solution usi…
math.AG2013★ 15 cited
Statistics on Hilbert's Sixteenth Problem
Antonio Lerario, Erik Lundberg
We study the statistics of the number of connected components and the volume of a random real algebraic hypersurface in RP^n defined by a Real Bombieri-Weyl distributed homogeneous…
math-ph2009★ 1 cited
Transcendental Harmonic Mappings and Gravitational Lensing by Isothermal Galaxies
Dmitry Khavinson, Erik Lundberg
Using the Schwarz function of an ellipse, it was recently shown that galaxies with density constant on confocal ellipses can produce at most four ``bright'' images of a single sour…