Here is a list of possible projects:

1. Finite-size analysis papers:

Antisymmetric Hermitian Random Matrices, Chap. 13 of Mehta's book

Hermitian Random Matrices with Unequal Real and Imaginary Parts, Chap. 14 of Mehta's book

Statistical Ensembles of Complex, Quaternion and Real Matrices, J. Ginibre
(see also Chap. 15 of Mehta's book)
This project is taken by Javad Ebrahimi.

Matrix Models for Beta Ensembles, J. Dumitriu and A. Edelman
This project is taken by Masoud Alipour.

2. Asymptotic analysis papers:

On the Eigenvalues of Random Matrices, P. Diaconis and M. Shahshahani
This project is taken by Hoa Nguyen.

Resolvent of Large Random Graphs, C. Bordenave and M. Lelarge
This project is taken by Ghid Maatouk.

Spectral Measure of Random Hankel, Markov and Toeplitz Matrices, W. Bryc et al.
related paper: Some Results on Random Circulant Matrices
This project is taken by Hemant Tyagi.

On the Largest Singular Values of Random Matrices with Independent Cauchy Entries, A. Soshnikov and Y. Fyodorov

3. Free probability papers:

On Voiculescu's R- and S-Transforms for Free Non-Commuting Random Variables, U. Haagerup
(the part on the R-transform)

4. Compressed sensing papers:

Random Sampling of Multivariate Trigonometric Polynomials, R. Bass and K. Grochenig
This project is taken by Yann Barbotin.

5. Wireless communications papers:

Capacity of the Gaussian Erasure Channel, A . Tulino et al.
This project is taken by Yuan-Chu Kuo.

Diversity-Multiplexing Gain Trade-off of a MIMO System with Relays, C. Rao and B. Hassibi
This project is taken by Ramtin Pedarsani.

6. Project ideas: (no particular paper attached: please contact me for more details on each project)

Rank distribution of a class of 0-1 random matrices
This project is taken by Hesam Salavati.

Limiting eigenvalue distribution of “nearest neighbour” random matrices
related paper: Spectra of Multi-Level Toeplitz Matrices
This project is taken by Marc Vuffray.

Largest eigenvalue of Euclidean random matrices
related papers: Hierarchical Cooperation Achieves Optimal Capacity Scaling in Ad Hoc Networks, A. Ozgur et al.
Linear Capacicty Saclin in Wirless Networks: Beyong Physical Limits?, A. Ozgur et al.
This project is taken by Reza Parhizkar and Vahid Aref.

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