Browsing Duke Faculty Articles by Duke-affiliated Author "Petters, Arlie O."

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A mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac-Rice formula

Petters, Arlie; Teguia, A. M. (AMER INST PHYSICS, 2009)

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 particular, we characterize the first three leading ...
A universal magnification theorem. III. Caustics beyond codimension 5

Aazami, Amir; Petters, Arlie (AMER INST PHYSICS, 2010)

In the final paper of this series, we extend our results on magnification invariants to the infinite family of A(n)(n >= 2), D-n( n >= 4 ), E6,E7,E8 caustic singularities. We prove that for families of general mappings ...