Arlie Petters

Gaudi, B. Scott, and A. O. Petters. “Gravitational microlensing near caustics. II. Cusps.” The Astrophysical Journal 580, no. 1 (2002): 468.

Gaudi, B. S., & Petters, A. O. (2002). Gravitational microlensing near caustics. I. Folds. The Astrophysical Journal, 574(2), 970.

Petters, A. O. (2002). Stable Lens Systems, Lensed Image Magnification and Magnification Cross Sections. In The Ninth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (In 3 Volumes) (pp. 2109-2112).

Frittelli, S., & Petters, A. O. (2002). Wavefront Singularities due to AN Elliptical Potential. In The Ninth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (In 3 Volumes) (pp. 2101-2102).

“Center of Light Curves for Whitney Fold and Cusp.” B. S. Gaudi and A. O. Petters, in Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, eds. V. Gurzadyan, R. T. Jantzen, and R. Ruffini (World Scientific, Singapore, 2001).

“Fixed Points due to Gravitational Lenses.” A.O. Petters and F.J. Wicklin, J. Math. Phys., 39, 1011 (1998).

“Counting Formulas and Bounds on Number of Fixed Points due to Point-Mass Lenses.” A. O. Petters and F.J. Wicklin, in Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, ed. R. Ruffini (World Scientific, Singapore, 1997).

“Properties of Point Mass Lenses on a Regular Polygon and the Problem of Maximum Number of Lensed Images.” S. Mao, A. O. Petters, and H. Witt, in Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, ed. R. Ruffini (World Scientific, Singapore, 1997); astro-ph/0708111.

“Some Global Results on Gravitational Lensing.” A. O. Petters, in Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, ed. R. Ruffini (World Scientific, Singapore, 1997).

“Curvature of Caustics and Singularities of Gravitational Lenses.” A. O. Petters, in Proceedings of the Second World Congress of Nonlinear Analysts, ed. V. Lakshmikantham (Elsevier Science Ltd., Oxford, 1997).

“Multiplane Gravitational Lensing III. Upper Bound on Number of Images.” A. O. Petters, J. Math. Phys., 38, 1605 (1997).

“Lower Bounds on Image Magnification in Gravitational Lensing.” A. O. Petters, Proc. R. Soc. Lond. A, 452, 1475 (1996).

“A Cusp-Counting Formula for Caustics due to Multiplane Gravitational Lensing.”A. O. Petters, in Astrophysical Applications of Gravitational Lensing, eds. C. S. Kochanek and J.N. Hewitt (Klumer Academic, Dordrecht, 1996).

“Mathematical Aspects of Gravitational Lensing.” A. O. Petters, in Proceedings of the Seventh Marcel Grossmann Meeting on General Relativity, vol. B, eds. R. T. Jantzen and G. M. Keiser (World Scientific, Singapore, 1996).

“New Caustic Phenomena for Caustics in Double-Plane Lensing.” A. O. Petters and F.J. Wicklin, in Astrophysical Applications of Gravitational Lensing, eds. C. S. Kochanek and J.N. Hewitt (Klumer Academic, Dordrecht, 1996).

“Bounds on Number of Cusps due to Point Mass Gravitational Lenses with Continuous Matter and Shear.” A. O. Petters and H. Witt, J. Math. Phys., 37, 2920 (1996).

“Caustics of the Double-Plane Two Point-Mass Gravitational Lens with Continuous Matter and Shear.” A. O. Petters and F.J. Wicklin, Mon. Not. R. Astron. Soc., 277, 1399 (1995).

“Multiplane Gravitational Lensing II: Global Geometry of Caustics.” A. O. Petters, J. Math. Phys., 36, 4276 (1995).

“Multiplane Gravitational Lensing I: Morse Theory and Image Counting.” A. O. Petters, J. Math. Phys., 36, 4263 (1995).

“Singularities and Gravitational Lensing.” H. Levine and A. O. Petters, in Passion des Formes: Hommage `a Rene’ Thom , vol. 1, ed. M. Porte (E.N.S. Edition, Fontenay-St Cloud, 1994).

“Applications of Singularity Theory to Gravitational Lensing.” H. Levine, A. O. Petters, and J. Wambsganss, J. Math. Phys., 34, 4781 (1993).

“Singularities of the One and Two Point Mass Gravitational Lens.” H. Witt and A. O. Petters, J. Math. Phys., 34, 4093 (1993).

“New Caustic Singularities in Multiple Lens Plane Gravitational Lensing.” H. Levine and A. O. Petters, Astron. Astrophys., 272, L17 (1993).

“Arnold’s Singularity Theory and Gravitational Lensing.” A. O. Petters, J. Math. Phys., 34, 3555 (1993).

“Morse Theory and Gravitational Microlensing.” A. O. Petters, J. Math. Phys., 33, 1915 (1992).

“An Analytical Approach to Quasar Variability due to Microlensing.” A. O. Petters and D. Spergel, in Gravitational Lenses, eds. R. Kayser, T. Schramm, and L. Nieser (Lecture Notes in Physics 406, Springer, Berlin, 1992).

“Morse Theory and Gravitational Microlensing.” A. O. Petters, in Gravitational Lenses, eds. R. Kayser, T. Schramm, and L. Nieser (Lecture Notes in Physics 406, Springer, Berlin, 1992).