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astro-ph.GA2022★ 40 cited
The Pan-STARRS1 Quasar Survey: III. The Quasar Luminosity Function
Jan-Torge Schindler, Eduardo Bañados, Thomas Connor +9
We present the type-1 quasar luminosity function (QLF) based on the Pan-STARRS1 (PS1) quasar survey. The PS1 sample includes 125 quasars at with $…
math.DG2022
Existence of harmonic maps and eigenvalue optimization in higher dimensions
Mikhail Karpukhin, Daniel Stern
We prove the existence of nonconstant harmonic maps of optimal regularity from an arbitrary closed manifold of dimension to any closed, non-aspherical manifold …
math.DG2022
Quantization and non-quantization of energy for higher-dimensional Ginzburg-Landau vortices
Alessandro Pigati, Daniel Stern
Given a family of critical points for the complex Ginzburg--Landau energies \begin{align*} &E_ε(u)=\int_{M}\left(\frac{|du|^2}{2}+\frac{(1-|u|^2)^2}{4ε^2}\ri…