242 citations · 832 across the 17 of their papers we have counts for
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A Universal Magnification Theorem for Higher-Order Caustic Singularities
Amir B. Aazami, Arlie O. Petters
We prove that, independent of the choice of a lens model, the total signed magnification always sums to zero for a source anywhere in the four-image regions of swallowtail, ellipti…
A Mathematical Theory of Stochastic Microlensing II. Random Images, Shear, and the Kac-Rice Formula
Arlie O. Petters, Brian Rider, Alberto M. Teguia
Continuing our development of a mathematical theory of stochastic microlensing, we study the random shear and expected number of random lensed images of different types. In particu…
A Mathematical Theory of Stochastic Microlensing I. Random Time-Delay Functions and Lensing Maps
Arlie O. Petters, Brian Rider, Alberto M. Teguia
Stochastic microlensing is a central tool in probing dark matter on galactic scales. From first principles, we initiate the development of a mathematical theory of stochastic micro…