Selected Papers from the 2000s

[65] C. A. Tracy and H. Widom, On the distributions of the lengths of the longest monotone subsequences in random words, Prob. Theory and Related Fields 119 (2001), 350-380. [pdf]

[66] J. Gravner, C. A. Tracy and H. Widom, Limit theorems for height fluctuations in a class of discrete space and time growth models, J. Stat. Phys. 102 (2001), 1085-1132. [pdf]

[67] A. R. Its, C. A. Tracy and H. Widom, Random words, Toeplitz determinants and integrable systems, in Random Matrices and Their Applications, eds. P. Bleher and A. R. Its, MSRI Publications, Vol. 40, 2001. [pdf]

[68] A. R. Its, C. A. Tracy and H. Widom, Random words, Toeplitz determinants and integrable systems, II, Physica D 152-153 (2001), 199-224. [pdf]

[72] J. Gravner, C. A. Tracy and H. Widom, A growth model in a random environment, Annals of Probability 30 (2002), 1340-1368. [pdf]

[73] J. Gravner, C. A. Tracy and H. Widom, Fluctuations in the composite regime of a disordered growth model, Commun. Math. Phys. 229 (2002), 433-458. [pdf]

[76] C. A. Tracy and H. Widom, Limit theorems for shifted Schur measures, Duke Mathematical Journal, 123 (2004), 171-208. [pdf]

[77] C. A. Tracy and H. Widom, Differential equations for Dyson processes, Commun. Math. Phys. 252 (2004), 7-41. [pdf]

[78] C. A. Tracy and H. Widom, Matrix kernels for the Gaussian orthogonal and symplectic ensembles, Ann. Inst. Fourier, Grenoble, 55 (2005), 2197-2207. [pdf]

[79] C. A. Tracy and H. Widom, The Pearcey process, Commun. Math. Phys. 263 (2006), 381-400. [pdf]

[81] C. A. Tracy and H. Widom, Integral formulas for the asymmetric simple exclusion process, Commun. Math. Phys. 279 (2008), 815--844. [pdf]

[82] C. A. Tracy and H. Widom, A Fredholm determinant representation in ASEP, J. Stat. Phys. 132 (2008), 291-300. [pdf]