Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle |
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| Authors: | EB Davies B Simon |
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| Institution: | aDepartment of Mathematics, King's College London, Strand, London WC2R 2LS, UK;bMathematics 253-37, California Institute of Technology, Pasadena, CA 91125, USA |
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| Abstract: | We prove that for any n×n matrix, A, and z with |z|  A, we have that  . We apply this result to the study of random orthogonal polynomials on the unit circle. |
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