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Weak Convergence in Circulant Matrices

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Necessary and sufficient conditions for convergence in distribution of products of i.i.d. d× d random circulant matrices are established here. The important role played by matrices in SO(d) is pointed out, and the validity of this result is shown to also hold for a class of Toeplitz matrices.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of South Florida, Tampa, FL, 33620-5700, U.S.A

    E. Cureg & A. Mukherjea

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  1. E. Cureg
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  2. A. Mukherjea
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Correspondence to A. Mukherjea.

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Cureg, E., Mukherjea, A. Weak Convergence in Circulant Matrices. J Theor Probab 18, 983–1007 (2005). https://doi.org/10.1007/s10959-005-7542-2

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  • DOI: https://doi.org/10.1007/s10959-005-7542-2

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