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Probability of Two Large Gaps in the Bulk and at the Edge of the Spectrum of Random Matrices

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Toeplitz Operators and Random Matrices

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 289))

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Abstract

We present the probability of two large gaps (intervals without eigenvalues) in the bulk and also in the edge scaling limit of the Gaussian Unitary Ensemble of random matrices.

In memory of Harold Widom, 1932–2021

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Authors and Affiliations

  1. KTH Stockholm, Stockholm, Sweden

    B. Fahs

  2. Imperial College London, London, UK

    I. Krasovsky & T. -H. Maroudas

Authors
  1. B. Fahs
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  2. I. Krasovsky
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  3. T. -H. Maroudas
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Corresponding author

Correspondence to I. Krasovsky .

Editor information

Editors and Affiliations

  1. American Institute of Mathematics, Palo Alto, CA, USA

    Estelle Basor

  2. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

    Albrecht Böttcher

  3. Department of Mathematics, University of California, Santa Cruz, CA, USA

    Torsten Ehrhardt

  4. Department of Mathematics, University of California Davis, Davis, CA, USA

    Craig A. Tracy

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Fahs, B., Krasovsky, I., Maroudas, T.H. (2022). Probability of Two Large Gaps in the Bulk and at the Edge of the Spectrum of Random Matrices. In: Basor, E., Böttcher, A., Ehrhardt, T., Tracy, C.A. (eds) Toeplitz Operators and Random Matrices. Operator Theory: Advances and Applications, vol 289. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-13851-5_16

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