| In
Random Matrix Theory |
1. Matrix
Models for Beta Ensembles, |
|
with Alan Edelman |
|
| Journal of Mathematical Physics 43 (11) (November 2002), 5830-5847 | |
| 2. Path counting and Random Matrix Theory,
|
|
|
with Etienne Rassart |
|
| Electronic Journal of Combinatorics, 10 (1) (2003), 35-47 |
|
| 3.
Eigenvalues
of Hermite and Laguerre Ensembles: Large Beta Asymptotics,
|
|
|
with Alan Edelman |
|
| Annales de l'Institut Henri Poincare (B), 41 (6) (2005), 1083-1099 |
|
| 4. Global spectrum fluctuations for the beta-Hermite and beta-Laguerre ensembles via matrix models, | |
| with Alan Edelman | |
| Journal of Mathematical Physics 47
(2006), 063302 (36 pages) |
|
| In
Combinatorics |
5.
On Generalized
Tribonacci Sequences and Additive
Partitions |
| Discrete Mathematics 219 (May 2000), 65-83. | |
| 6.
A HalfLiar's
Game, |
|
|
with Joel Spencer |
|
| Theoretical Computer Science, Special Issue on Algorithmic | |
| Combinatorial Game Theory, 313 (3) (2004),
35-47 |
|
| 7.
The Liar Game over an Arbitrary Channel,
|
|
|
with Joel Spencer |
|
| Combinatorica 25 (2005), 537-559. |
|
| 8.
The Two-batch Liar Game over an Arbitrary
Channel, |
|
|
with Joel Spencer |
|
| SIAM Journal of Discrete
Mathematics, 19
(4)
(2006), 1056-1064 |
|
| In
Probability |
9.
On Playing Golf
with Two Balls, |
|
with Prasad Tetali and Peter Winkler |
|
| SIAM Journal of Discrete Mathematics, 16
(4)
(2003), 604-615 |
|
| 10.
Branching Processes
with Negative Offspring Distribution, |
|
|
with Joel Spencer and Catherine Yan |
|
| Annals of Combinatorics, 7 (1) (2003), R-43 |
|
| In
Numerical Analysis |
11. Toward accurate polynomial evaluation in rounded arithmetic, |
|
with James Demmel and Olga
Holtz
|
|
| Foundations of Computational Mathematics: Santander 2005 (L. Pardo et al, eds.) | |
| Cambridge University Press, 2006, pp. 36-105. |
| In
Random Matrix Theory |
|
| and Scientific Computing | 12.
Distributions
of the Extreme
Eigenvalues of the Complex Jacobi Random Matrix
Ensemble, |
|
with Plamen Koev |
|
| Submitted to SIAM Journal on Matrix Analysis and
Applications |
|
| 13. MOPS: Multivariate Orthogonal Polynomials (symbolically), | |
| with Alan Edelman and Gene Shuman | |
| To appear in Journal of Symbolic Computation,
older version at math-ph/0409066 |
|
| In Numerical Analysis | |
| and Scientific Computing |
14.
Fast matrix multiplication is stable, |
| with James Demmel, Olga Holtz, and Robert Kleinberg | |
| To appear in Numerische Mathematik, also at math.NA/0603207 | |
| 15.
Fast linear algebra is stable, |
|
|
with James Demmel and Olga Holtz |
|
| Submitted to Numerische Mathematik, also
at math.NA/0612264 |

| In Numerical Analysis |
Toward accurate
polynomial evaluation in rounded arithmetic (short version), |
|
with James Demmel, Olga Holtz,
and Robert Kleinberg
|
|
| in Proceedings of the Dagstuhl Seminar "Algebraic and numerical algorithms and computer-assisted proofs", | |
|
(B.Buchberger et al, eds.), 2006
|
Work in progress| In
Random Matrix Theory |
1. Central Limit Theorems for the traces high powers of beta-Hermite and beta-Laguerre ensembles |
| 2.
Central Limit theorems for C1
functions for the beta ensembles, with Ofer Zeitouni |
|
| In
Combinatorics |
3. The Luczak Liar Game, with
Robert Ellis, Nati Linial, Tomasz Luczak, and Joel Spencer. |
| In
Numerical Analysis |
4. Accurate and Efficient Expression
Evaluation and Linear Algebra, |
| with James Demmel, Olga Holtz, and Plamen Koev |