Distribution of Eigenvalues for the Ensemble of Real Symmetric Toeplitz Matrices

By Christopher N. B. Hammond, Steven J. Miller. 2005

74 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6930d2967672317d6f4bc797f5939925d06e46b0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Arup Bose
2. Arnab Sen
3. Mark W. Meckes
4. J. Sinsheimer
5. Adam Massey
6. Steven J. Miller
7. Tom Leinster

In Discrete Mathematics and Combinatorics

1. Mark W. Meckes
2. Arnab Sen
3. Arup Bose
4. J. Sinsheimer
5. Adam Massey
6. Steven J. Miller

In Statistics and Probability

1. Arnab Sen
2. Arup Bose
3. Mark W. Meckes
4. J. Sinsheimer
5. Adam Massey
6. Steven J. Miller
7. Lingxue Pan
8. Dimitris Nicolas Politis

Citations in the corpus

• On the spectral norm of a random Toeplitz matrix (2007, methodology): “Bryc, Dembo, and Jiang [5] and Hammond and Miller [8] independently proved that this is so when the Xj are identically distributed with variance 1, and that with these assumptions µ does not depend on the distribution of the Xj.”
• Another look at the moment method for large dimensional random matrices (2008, methodology): “Recently Hammond and Miller (2005) [12] obtained some useful bounds for the moments of the ESD.”
• Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices (2005, methodology): “We calculate the fourth moment in detail, as the calculation shows how the palindromic structure removes the obstructions to the Diophantine equations encountered in [ 10 ].”