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\title{UROP Proposal}
\author{Analysis of Variability in the Gravitational Lens 1115+080}
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I will be working with Doctor Hewitt on a project involving analysis of gravitational lens time delays.  Specifically, I will be applying a technique developed by Drs. Press, Rybicki and Hewitt to determine time delays in very noisy correlated signals.  We will study the quasar PG 1115+080, a quadruple-image, or possibly quintuple-image gravitational lens.  The project will begin with a background check on the gravitational lens for past research.  From there, an autocorrelation relationship (a structure function) and a crosscorellation relationship will be computed.  Preliminary analysis indicates such a relationship exists, however this analysis did not account for the irregularity of the sampling of the data, and a more sophisticated technique must be applied.  If it is demonstrated that measurable correlations in the signal exist, application of the Press-Rybicki-Hewitt technique for chi-square fitting of such data could hopefully yield an estimated of time delays between images of the quasar.
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