| 1 | Random Growth Processes
Simulation 1
Simulation 2
On the Second Eigenvalue and Random Walks in Random d-Regular Graphs - Friedman
Random Vicious Walks and Random Matrices - Baik
Toeplitz Determinants, Random Growth and Determinantal Processes - Johansson |
| 2 | Proofs of Semicircle Law
A Simple Approach to Global Regime of the Random Matrix Theory - Pastrur
Some Elementary Results around the Wigner Semicircle Law (PDF) - Khorunzhy |
| 3 | Random Matrices with Complex Eigenvalues
Non-Hermition Random Matrices (PDF) - Khoruzhenko
Eigenvalue Curves of Asymmetric Tridiagonal Random Matrices - Khoruzhenko
Regular Spacings of Complex Eigenvalues in the One-Dimensional Non-Hermitian Anderson Model - Khoruzhenko |
| 4 | Functions for Random Matrices
Correlation Functions, Cluster Functions and Spacing Distributions for Random Matrices - Tracy and Widom
Shape Fluctuations and Random Matrices - Johansson |
| 5 | Random Matrices and PCA
On the Distribution of the Largest Principal Component (PDF) - Johnstone |
| 6 | Communication Theory
Multiuser Receivers, Random Matrices, and Free Probability (PDF) - Tse
Asymptotic Eigenvalue Moments for Linear Multiuser Detection - Verdu
Statistical Analysis of the Capacity of MIMO Frequency Selective Reyleigh Fading Channels (PDF) - Scaglione
The Statistics of the MIMO Frequency Selective Fading AWGN Channel Capacity (PDF) - Scaglione
Capacity of Multi-antenna Gaussian Channels - Telatar
Complex Random Matrices and Reyleigh Channel Capacity (PDF) - Ratnarajah and Vaillancourt
Spectral Efficiency of CDMA with Random Spreading - Verdu and Shamai
Upper Bounds on the Bit-Error Rate of Optimum Combining in Wireless Systems - Winters and Salz
Bounds and Approximations for Optimum Combining of Signals in the Presence of Multiple Cochannel Interferers and Thermal Noise - Chiani and Win
Enviromental Issues for MIMO Capacity (PDF) - Bliss and Forsythe |
| 7 | Free Probability and Addition of Random Matrices
Multiuser Receivers, Random Matrices, and Free Probability (PDF) - Tse
Free Probability Theory and Random Matrices (PS) - Speicher
On the Law of Addition of Random Matrices - Pastur and Vasilchuk
Law of Addition in Random Matrix Theory - Zee |
| 8 | Finite Fields
Random Matrix Theory over Finite Fields (PDF) - Fulman |
| 9 | Array Signal Processing
Inferring the Eigenvalues of Covariance Matrices from Limited, Noisy Data - Everson and Roberts
Large Dimensional Random Matrix Theory for Signal Detection and Estimation in Array Processing (PDF) - Silverstein and Combettes |
| 10 | Random Networks
Eigenvalues of Random Power Law Graphs (PDF) - Chung, Lu, and Vu
The Web as a Graph: Measurements, Models and Methods - Kleinberg, et. al.
The Spectra of Random Graphs with Given Expected Degrees (PDF) - Chung, Lu, and Vu
Spectra and Eigenvectors of Scale-free Networks (PDF) - Goh, Kahng, and Kim
Spectra of Real World Graphs (PDF) - Farkas, et. al. |
| 11 | Random Graphs
Eigenvalues of Random Power Law Graphs (PDF) - Chung, Lu, and Vu
The Spectra of Random Graphs with Given Expected Degrees (PDF) - Chung, Lu, and Vu
Spectra of Real World Graphs (PDF) - Farkas, et. al. |
| 12 | Computational Biology
Theoretical Limitations of Massively Parallel Biology - Szallasi, Periwal, et. al.
RNA Folding and Large N Matrix Theory - Zee |