Brian Rider

Brian Rider

Associate Professor
Ph.D. Mathematics, Courant Institute 2000

Office:
Math 225
E-mail:
brider@euclid.colorado.edu
Mailing address:
Brian Rider
Department of Mathematics
University of Colorado at Boulder
Campus Box 395
Boulder, CO 80309-0395
USA
Phone:
303-492-6775
Fax:
303-492-7707
Research interests:
Probability/ Mathematical Physics
Personal home page:
http://math.colorado.edu/~brider
Research:

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.