Selected Publications

14. (with C. A. Tracy) Asymptotics in ASEP with step initial condition, Comm. Math. Phys., 290 (2009), 129--154.

13. (with C. A. Tracy) Integral formulas for the asymmetric simple exclusion process, Comm. Math. Phys. 279 (2008) 815--844.

12. Asymptotics of a class of operator determinants with application to the cylindrical Toda Equations , Contemp. Math. 458 (2008) 31--53.

11. (with C. A. Tracy) Differential equations for Dyson processes, Comm. Math. Phys. 252 (2004) 7--41.

10. (with A. R. Its and C. A. Tracy) Random words, Toeplitz determinants and integrable systems I, Publ. MSRI 40 (2001) 245--258.

9. (with E. L. Basor) Determinants of Airy Operators and Applications to Random Matrices, J. Stat. Phys. 96 (1999) 1--20.

8. On the relation between orthogonal, symplectic and unitary matrix ensembles, J. Stat. Phys. 94 (1999) 347--364.

7. (with C. A. Tracy) Correlation functions, cluster functions and spacing distributions for random matrices, J. Stat. Phys. 92 (1998) 809--835.

6. Some classes of solutions to the Toda lattice hierarchy, Comm. Math. Phys. 184 (1997) 653--667.

5. (with C. A. Tracy) On orthogonal and symplectic matrix ensembles, Comm. Math. Phys. 177 (1996) 727--754.

4. Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals, Comm. Math. Phys. 171 (1995) 159--180.

3. (with C. A. Tracy) Fredholm determinants, differential equations and matrix models, Comm. Math. Phys. 163 (1994) 38--72.

2. Eigenvalue distribution of nonselfadjoint Toeplitz matrices and the asymptotics of Toeplitz determinants in the case of nonvanishing index, Oper. Th.: Adv. Appl. 48 (1990) 387--421.

1. Asymptotic expansions for pseudodifferential operators on bounded domains. Lecture Notes in Math. 1152 (1985), Springer-Verlag.


Back to the top
Back to Harold Widom's main page


Last updated July 19, 2012.