• Curvature Calculations Of The Operators In Cowen-Douglas Class 

      Deb, Prahllad (2014-03-03)
      In a foundational paper “Operators Possesing an Open Set of Eigenvalues” written several decades ago, Cowen and Douglas showed that an operator T on a Hilbert space ‘H possessing an open set Ω C of eigenvalues determines ...
    • Eigenvalues of Products of Random Matrices 

      Nanda Kishore Reddy, S (2018-02-07)
      In this thesis, we study the exact eigenvalue distribution of product of independent rectangular complex Gaussian matrices and also that of product of independent truncated Haar unitary matrices and inverses of truncated ...
    • On Critical Points of Random Polynomials and Spectrum of Certain Products of Random Matrices 

      Annapareddy, Tulasi Ram Reddy (2018-07-30)
      In the first part of this thesis, we study critical points of random polynomials. We choose two deterministic sequences of complex numbers, whose empirical measures converge to the same probability measure in complex plane. ...