Universality in the fluctuation of eigenvalues of random circulant matrices

Kartick Adhikari,Koushik Saha

Universality in the fluctuation of eigenvalues of random circulant matrices

2018

Kartick Adhikari
Koushik Saha

Abstract We show that the linear statistics of eigenvalues of random circulant matrices obey the Gaussian central limit theorem for a large class of input sequences.

Keywords:

Central limit theorem
Combinatorics
Eigenvalues and eigenvectors
Spectrum of a matrix
Mathematics
Universality (philosophy)
Gaussian
Mathematical analysis
Circulant matrix
Discrete mathematics
large class

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