Transcendental harmonic mappings and gravitational lensing by isothermal galaxies

DOI10.1007/s11785-010-0050-0zbMath1209.30012arXiv0908.3310OpenAlexW2057171250MaRDI QIDQ601080

Erik Lundberg, Dmitry Khavinson

Publication date: 3 November 2010

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3310

zbMATH Keywords

complex dynamics``bright images of a single source``Schwarz function of an ellipseargument principle for harmonic functions

Mathematics Subject Classification ID

General relativity (83C99) Geometric function theory (30C99)

Related Items (9)

Multiplane gravitational lenses with an abundance of images ⋮ The valence of harmonic polynomials viewed through the probabilistic lens ⋮ A Survey on the Maximal Number of Solutions of Equations Related to Gravitational Lensing ⋮ An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble ⋮ Spiral galaxy lensing: a model with twist ⋮ On the number of solutions of a transcendental equation arising in the theory of gravitational lensing ⋮ Green’s function and anti-holomorphic dynamics on a torus ⋮ A note on the critical points of the localization landscape ⋮ On the zeros of random harmonic polynomials: the truncated model

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