Jalowy, Jonas: Rate of convergence for non-Hermitian random matrices and their products. 2020
Inhalt
- Contents
- 1 Introduction
- 1.1 Motivation: The Circular Law
- 1.2 Rate of convergence
- 1.3 Products of random matrices
- 1.4 Random polynomials
- 1.5 The spectral radius
- 1.6 Structure of the thesis
- 2 Preliminaries
- 2.1 (Hermitian) Random Matrix Theory
- 2.2 Non-Hermitian Random Matrix Theory
- 2.3 Statement of the Problem
- 3 Rate of convergence for Gaussian matrices
- 3.1 Ginibre matrices
- 3.2 Products of Ginibre matrices
- 3.3 A slight modification of the model
- 3.4 Non-averaged rate of convergence
- 4 Rate of convergence for matrices with independent entries
- 4.1 The Smoothing Inequality for logarithmic potentials
- 4.2 The Circular Law
- 4.3 Products of matrices with independent entries
- 5 Applications and related models
- List of Symbols
- Bibliography