# Craig A. Tracy

**Home Page: ** http://www.math.ucdavis.edu/~tracy/**Position:** Distinguished Professor**Year joining UC Davis:** 1984**Degree:** Ph.D. in Physics, 1973, SUNY at Stony Brook**Refereed publications:** Via Math Reviews

### Research

Craig Tracyï¿½s research focuses on statistical mechanics, integrable systems and probability theory (see the article in Quanta Magazine). View more of his recent research and publications on his ResearcherID web page .### Selected Publications

**[1]**Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region (with T. T. Wu, B. M. McCoy, and E. Barouch), Phys. Rev. B13 (1976), 316-374. View the PDF.

**[2]** Fredholm determinants, differential equations and matrix models (with H. Widom), Commun. Math. Phys. 163 (1994), 33-72, arXiv:hep-th/9306042.
View the featured review of this paper.
View the PDF.

**[3]** On orthogonal and symplectic matrix ensembles (with H. Widom), Commun. Math. Phys. 177 (1996), 727-754,
arXiv:solv-int/9509007.
View the PDF.

**[4]** On the distribution of the lengths of the longest monotone subsequences in random words (with H. Widom), Probab. Theory and Related Fields 119 (2001), 350-380,
arXiv:math.CO/9904042.
View the PDF.

**[5]** Integral formulas for the asymmetric simple exclusion process (with H. Widom), Commun. Math. Phys. 279 (2008), 815-844, arXiv:0704.2633.
View the PDF Errata.

*Last updated: 2012-04-12*