Ph.D. Mathematics, Courant Institute 2000
- Math 225
- Mailing address:
- Brian Rider
- Department of Mathematics
- University of Colorado at Boulder
- Campus Box 395
- Boulder, CO 80309-0395
- Research interests:
- Probability/ Mathematical Physics
- Personal home page:
I work in random matrix theory which aims to understand what the eigenvalues of a typical linear map look like.
- Select Publications:
On the shape of the ground state eigenvalue density of a random Hill's equation, (with S. Cambronero and J. Ramírez), Comm. Pure Appl. Math. 59 (2006), no. 7, 935-976.
Gaussian fluctuations for non-Hermitian random matrix ensembles, (with J.W. Silverstein). Ann. Probab. 34 (2006), no. 6, 2118-2143.
The noise in the Circular Law and the Gaussian free field, (with B. Virág). Int. Math. Res. Not. 2007 (2007), Art. ID rnm006, 33pp.
Quantization bounds on Grassmann manifolds and applications to MIMO systems, (with W. Dai and Y. Liu.) IEEE Trans. Info. Theory. 54, no. 3 (2008), 1108-1124.
Beta ensembles, stochastic Airy spectrum and a diffusion, (with J. Ramírez and B. Virág). Submitted.