2 citations · 2 across the 3 of their papers we have counts for
4 papers
Multiplane gravitational lenses with an abundance of images
Charles R. Keeton, Erik Lundberg, Sean Perry
We consider gravitational lensing of a background source by a finite system of point-masses. The problem of determining the maximum possible number of lensed images has been comple…
On the valence of logharmonic polynomials
Dmitry Khavinson, Erik Lundberg, Sean Perry
Investigating a problem posed by W. Hengartner (2000), we study the maximal valence (number of preimages of a prescribed point in the complex plane) of logharmonic polynomials, i.e…
On the Number of Equilibria Balancing Newtonian Point Masses with a Central Force
Nickolas Arustamyan, Christopher Cox, Erik Lundberg +2
We consider the critical points (equilibria) of a planar potential generated by Newtonian point masses augmented with a quadratic term (such as arises from a centrifugal effect…
An Upper Bound for the Number of Gravitationally Lensed Images in a Multiplane Point-mass Ensemble
Sean Perry
Herein we prove an upper bound on the number of gravitationally lensed images in a generic multiplane point-mass ensemble with K planes and g_i masses in the ith plane. With E_K an…