Random Circulant Matrices eBook ç Random Circulant

Random Circulant Matrices 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 randomIn particular the behavior of the spectral distribution of the spectral radius and of the appropriate point processes are developed systematically using the method of moments and the various powerful normal approximation results This behavior varies according as the entries are independent are from a linear process and are light or heavy tailed Arup Bose obtained his BStat MStat and PhD 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 SS Bhatnagar Prize and the CR Rao Award He is the author of three books Patterned Random Matrices Large Covariance and Autocovariance Matrices with Monika Bhattacharjee and U Statistics Mm Estimators and Resampling with Snigdhansu Chatterjee Koushik Saha obtained a BSc in Mathematics from Ramakrishna Mission Vidyamandiara Belur and an MSc in Mathematics from Indian Institute of Technology Bombay He obtained his PhD 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

  • Hardcover
  • 192 pages
  • Random Circulant Matrices
  • Arup Bose
  • 23 November 2014
  • 9781138351097

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