Random Circulant Matrices, 9781138351097
Hardcover
This book is on properties of the eigenvalues of several different Random Circulant- type matrices as the dimension goes to infinity. In particular, we consider the bulk behavior of the eigenvalues (limiting spectral distribution) and also the edge behavior of the eigenvalues.

Random Circulant Matrices

$462.21

  • Hardcover

    192 pages

  • Release Date

    25 October 2018

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Summary

Circulant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the properties of the eigenvalues for various types of circulant matrices, such as the usual circulant, the reverse circulant, and the k-circulant when the dimension of the matrices grow and the entries are random.

In particular, the behavior of the spectral distribution, of the spectral radius and of the appropriate point processes are developed systematica…

Book Details

ISBN-13:9781138351097
ISBN-10:1138351091
Author:Arup Bose, Koushik Saha
Publisher:Taylor & Francis Ltd
Imprint:CRC Press
Format:Hardcover
Number of Pages:192
Release Date:25 October 2018
Weight:430g
Dimensions:234mm x 156mm
About The Author

Arup Bose

Arup Bose obtained his B.Stat., M.Stat. and Ph.D. degrees from the Indian Statistical Institute. He has been on its faculty at the Theoretical Statistics and Mathematics Unit, Kolkata, India since 1991. He is a Fellow of the Institute of Mathematical Statistics, and of all three national science academies of India. He is a recipient of the S.S. Bhatnagar Prize and the C.R. Rao Award. He is the author of three books: Patterned Random Matrices, Large Covariance and Autocovariance Matrices (with Monika Bhattacharjee) and U-Statistics, M_m-Estimators and Resampling (with Snigdhansu Chatterjee).

Koushik Saha obtained a B.Sc. in Mathematics from Ramakrishna Mission Vidyamandiara, Belur and an M.Sc. in Mathematics from Indian Institute of Technology Bombay. He obtained his Ph.D. degree from the Indian Statistical Institute under the supervision of Arup Bose. His thesis on circulant matrices received high praise from the reviewers. He has been on the faculty of the Department of Mathematics, Indian Institute of Technology Bombay since 2014.

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