Work in progress
| 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) |
|
| 5.
MOPs:
Multivariate
Orthogonal Polynomials (symbolically) |
|
|
with
Alan Edelman and Gene Shuman |
|
| Journal of Symbolic Computation 42 (2007), 587--620 |
|
| 6.
Distributions
of
the extreme eigenvalues of beta-Jacobi matrices |
|
|
with
Plamen Koev |
|
| SIAM Journal of Matrix
Analysis and Applications, 30 (1) (2008) 1--6 |
|
| 7.
Tridiagonal
realization
of the antisymmetric Gaussian beta-ensemble |
|
|
with
Peter
Forrester |
|
|
Journal of Mathematical Physics 51 (2010), 093302 (25 pages) |
|
| In
Combinatorics |
8.
On Generalized
Tribonacci Sequences and Additive
Partitions |
| Discrete Mathematics 219 (May 2000), 65--83. | |
| 9.
A HalfLiar's
Game, |
|
|
with
Joel
Spencer
|
|
| Theoretical Computer Science, Special Issue on Algorithmic | |
| Combinatorial
Game
Theory, 313 (3)
(2004),
35--47 |
|
| 10.
The Liar Game over an Arbitrary Channel,
|
|
|
with
Joel
Spencer
|
|
| Combinatorica 25 (2005), 537--559. |
|
| 11.
The Two-batch Liar Game over an Arbitrary
Channel, |
|
|
with
Joel
Spencer
|
|
| SIAM Journal of Discrete
Mathematics, 19
(4)
(2006), 1056--1064 |
|
| In
Probability |
12.
On Playing Golf
with Two Balls, |
|
with
Prasad
Tetali
and Peter Winkler |
|
| SIAM Journal of Discrete Mathematics, 16
(4)
(2003), 604--615 |
|
| 13.
Branching Processes
with Negative Offspring Distribution, |
|
|
with
Joel
Spencer
and Catherine Yan |
|
| Annals of Combinatorics, 7 (1) (2003), R-43 |
|
| In
Numerical Analysis |
14. 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, 36--105. | |
| 15.
Fast
Matrix Multiplication is Stable, |
|
|
with
James Demmel, Olga Holtz, and Robert Kleinberg |
|
| Numerische Mathematik 106 (2) (2007), 199--224 |
|
| 16.
Fast
Linear Algebra is Stable, |
|
|
with
James Demmel and Olga Holtz |
|
| Numerische Mathematik 108 (1), 59--91 |
|
| 17.
Accurate
and Efficient Expression Evaluation and Linear Algebra, |
|
|
with
James Demmel, Olga Holtz, and Plamen Koev |
|
| Acta Numerica 17 (2008), 87--145 |
| In
Random Matrix Theory |
18.
Smallest
eigenvalue distributions for Beta-Jacobi ensembles, |
| In
Probability and Combinatorics |
19.
Sparse
regular random graphs: spectral density and eigenvectors, |
|
with
Soumik Pal |
|
| In Numerical Analysis | 20.
Minimizing
Communication for Eigenproblems and the Singular Value Decomposition, |
| and Scientific Computing |
with
Grey Ballard and James Demmel |
| 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. Global Fluctuations for Beta-Jacobi
ensembles, |
| with Elliot Paquette | |
| In
Probability and
Combinatorics |
2.
Global
Fluctuations for the Spectra of Regular and Bipartite Biregular
Sparse Graphs, |
|
with
Toby Johnson and Soumik Pal |
|
| 3.
Sparse
Bipartite Biregular Graphs: short-scale laws, |
|
|
with
Toby Johnson |