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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The central limit theorem for eigenvalues
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by Richard Aoun PDF
Proc. Amer. Math. Soc. 149 (2021), 859-873 Request permission

Abstract:

We prove that the spectral radius of a strongly irreducible random walk on $\mathrm {GL}_d(\mathbb {R})$ (or more generally the vector of moduli of eigenvalues of a Zariski-dense random walk on a linear reductive group) satisfies a central limit theorem under an order two moment assumption.
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Additional Information
  • Richard Aoun
  • Affiliation: Department of Mathematics, Faculty of Arts and Sciences, American University of Beirut, P.O. Box 11-0236 Riad El Solh, Beirut 1107 2020, Lebanon
  • MR Author ID: 953104
  • Email: ra279@aub.edu.lb
  • Received by editor(s): July 12, 2019
  • Received by editor(s) in revised form: June 4, 2020
  • Published electronically: December 7, 2020
  • Additional Notes: Part of this project was sponsored by the Center of Advanced Mathematical Sciences (CAMS)
  • Communicated by: Nimish Shah
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 859-873
  • MSC (2010): Primary 60B15, 60F05, 37H15, 20P05
  • DOI: https://doi.org/10.1090/proc/15226
  • MathSciNet review: 4198090