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\centerline{\bf STANFORD UNIVERSITY}
\centerline{\bf DEPARTMENT OF STATISTICS}
\centerline{\big JOINT PROBABILITY AND STATISTICS SEMINAR}
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\centerline{4:15 p.m., Tuesday, January 15, 2002}
\centerline{Sequoia Hall Room 200}
\centerline{(Cookies at 3:45 in 1st Floor Lounge)}

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\centerline{\sl Tiefeng Jiang}
\centerline{\sl Statistics Department}
\centerline{\sl U. Minnesota, Minneapolis}
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\centerline{\bf Singular values of matrices generated from spherical 
distributions}
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Motivated by an image analysis problem, we study asymptotic properties of
the singular values of random matrices $A_{p,n}$, where the n columns
are random samples from the unit sphere in $R^p$. We show that the empirical
law of the singular values of $A_{p,n}$ satisfies the semicircular law.
We will also discuss a possible Tracy-Widom law for
the largest singular value of $A_{p,n}$.

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