The Net Advance of Physics:
RANDOM MATRICES

• General: Tracy and Widom 92/10; Guhr et al. 97/07; Tracy and Widom 98/04; Snaith et al. 2003/03; Efetov 2005/02;
  • Lecture Notes on Randomized Linear Algebra by Michael W. Mahoney [2013] 188 pp.
  • Lecture Notes on Random Matrix Theory by Vladislav Kargin and Elena Yudovina [2013/05]
  • An Introduction to Matrix Concentration Inequalities by Joel A. Tropp [2015/01] 163 pp.
  • Random matrices by Bertrand Eynard et al. [2015/10] 138 pp.
  • Eigenvectors of random matrices: A survey by Sean O'Rourke et al. [2016/01]
  • Invitation to random tensors by Razvan-Gheorghe Gurau [2016/09]
  • An introduction to random matrix theory by Gaëtan Borot [Mongolian Journal of Mathematics 20, 5 (2016)]
  • Introduction to Random Matrices: Theory and Practice by Giacomo Livan et al. [2017/12] Textbook in conversational style, 112 pp.
  • Lecture notes on random matrices by R. Speicher [2020/09]

• Type: CHIRAL: Verbaarschot 98/07;
• Type: CHIRAL: Re: QCD AT NONZERO CHEMICAL POTENTIAL: Verbaarschot 98/07;

• Type: EUCLIDEAN:
  • Euclidean random matrices and their applications in physics by A. Goetschy and S. E. Skipetrov [2013/03]

• Type: NEAR-HERMITIAN: Fyodorov and Sommers 2002/07;
• Type: NEAR-UNITARY: Fyodorov and Sommers 2002/07;

• Type: STRUCTURED:
  • Structured Random Matrices by Ramon van Handel [2016/10]

• Aspects: DISTRIBUTION FUNCTIONS FOR LARGEST EIGENVALUES: Tracy and Widom 2002/10;

• Aspects: EIGENVALUES:
  • The eigenvalues of random matrices by E. Meckes [2021/01]

• Aspects: EMBEDDED ENSEMBLES: Benet and Weidenmueller 2002/07;

• Aspects: MOMENTS:
  • Sixty Years of Moments for Random Matrices by Werner Kirsch and Thomas Kriecherbauer [2016/12]

• Aspects: UNIVERSALITY PROBLEM: Kanzieper and Freilikher 98/09;

• Re: CALOGERO-SUTHERLAND MODELS: Guhr et al. 97/07;

• Re: CHAOS: Guhr et al. 97/07;
  • Resonance Scattering of Waves in Chaotic Systems by Y. V. Fyodorov and D. V. Savin [2010/03]

• Re: CHIRAL SYMMETRY: Guhr et al. 97/07; Verbaarschot and Wettig 2000/03;
• Re: CONFORMAL FIELD THEORY: Kostov 99/07;

• Re: ECONOMICS:
  • Financial Applications of Random Matrix Theory: a short review by Jean-Philippe Bouchaud and M. Potters [2009/10]

• Re: FREE PROBABILITY THEORY:
  • A Simple Introduction to Free Probability Theory and its Application to Random Matrices by Xiang-Gen Xia [2019/02]

• Re: GROWTH MODELS:
  • Random Growth Models by Patrik L. Ferrari and Herbert Spohn [2010/03]

• Re: LINEAR ALGEBRA:
  • Sketching as a Tool for Numerical Linear Algebra by David P. Woodruff [Foundations and Trends in Theoretical Computer Science 10, 1 (2014)] 157 pp.

• Re: LOCALIZATION: Guhr et al. 97/07;
  • Applications of random matrix theory to condensed matter and optical physics by C. W. J. Beenakker [2009/04]

• Re: MANY-BODY PROBLEM: Guhr et al. 97/07;

• Re: PHASE TRANSITIONS: Cicuta 2000/12;

• Re: QUANTUM CHROMODYNAMICS:
  • Random Matrix Theory and Quantum Chromodynamics by Gernot Akemann [2015/07] Les Houches.

• Re: QUANTUM DOTS: Alhassid 2001/02;
  • Applications of random matrix theory to condensed matter and optical physics by C. W. J. Beenakker [2009/04]

• Re: QUANTUM ELECTRONICS:
  • Applications of random matrix theory to condensed matter and optical physics by C. W. J. Beenakker [2009/04]

• Re: QUANTUM GRAVITY: 2D: Guhr et al. 97/07;

• Re: QUANTUM INFORMATION THEORY:
  • Random matrix techniques in quantum information theory by Benoit Collins and Ion Nechita [2015/09]

• Re: QUANTUM OPEN SYSTEMS:
  • Random matrix approaches to open quantum systems by Henning Schomerus [2015/07]

• Re: QUANTUM OPTICS:
  • Applications of random matrix theory to condensed matter and optical physics by C. W. J. Beenakker [2009/04]

• Re: QUANTUM WIRES:
  • Applications of random matrix theory to condensed matter and optical physics by C. W. J. Beenakker [2009/04]

• Re: RESONANCE SCATTERING:
  • Resonance Scattering of Waves in Chaotic Systems by Y. V. Fyodorov and D. V. Savin [2010/03]

• Re: SUPERSYMMETRY: Zuk 94/12; Efetov 2005/02;
  • Supersymmetry in Random Matrix Theory by Thomas Guhr [2010/05]

• Re: VARIANCE:
  • A review of exact results for fluctuation formulas in random matrix theory by P. J. Forrester [2022/04]

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THE NET ADVANCE OF PHYSICS