Tracy, Craig A.; Widom, Harold Formulas and asymptotics for the asymmetric simple exclusion process. (English) Zbl 1243.60079 Math. Phys. Anal. Geom. 14, No. 3, 211-235 (2011). MSC: 60K35 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Math. Phys. Anal. Geom. 14, No. 3, 211--235 (2011; Zbl 1243.60079) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Painlevé functions in statistical physics. (English) Zbl 1221.34240 Publ. Res. Inst. Math. Sci. 47, No. 1, 361-374 (2011). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M55 82B23 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Publ. Res. Inst. Math. Sci. 47, No. 1, 361--374 (2011; Zbl 1221.34240) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Formulas for joint probabilities for the asymmetric simple exclusion process. (English) Zbl 1311.60118 J. Math. Phys. 51, No. 6, 063302, 10 p. (2010). MSC: 60K35 82C22 82C23 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, J. Math. Phys. 51, No. 6, 063302, 10 p. (2010; Zbl 1311.60118) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Formulas for ASEP with two-sided Bernoulli initial condition. (English) Zbl 1197.82079 J. Stat. Phys. 140, No. 4, 619-634 (2010). MSC: 82C22 82C20 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, J. Stat. Phys. 140, No. 4, 619--634 (2010; Zbl 1197.82079) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Total current fluctuations in the asymmetric simple exclusion process. (English) Zbl 1241.82051 J. Math. Phys. 50, No. 9, 095204, 4 p. (2009). MSC: 82C22 60F05 60K35 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, J. Math. Phys. 50, No. 9, 095204, 4 p. (2009; Zbl 1241.82051) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Asymptotics in ASEP with step initial condition. (English) Zbl 1184.60036 Commun. Math. Phys. 290, No. 1, 129-154 (2009). Reviewer: Wolfgang Freudenberg (Cottbus) MSC: 60K35 82C20 82C31 47N30 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Commun. Math. Phys. 290, No. 1, 129--154 (2009; Zbl 1184.60036) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold A Fredholm determinant representation in ASEP. (English) Zbl 1144.82045 J. Stat. Phys. 132, No. 2, 291-300 (2008). MSC: 82C22 82C10 45B05 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, J. Stat. Phys. 132, No. 2, 291--300 (2008; Zbl 1144.82045) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Integral formulas for the asymmetric simple exclusion process. (English) Zbl 1148.60080 Commun. Math. Phys. 279, No. 3, 815-844 (2008); erratum ibid. 304, No. 3, 875-878 (2011). MSC: 60K35 82C22 82C23 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Commun. Math. Phys. 279, No. 3, 815--844 (2008; Zbl 1148.60080) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Nonintersecting Brownian excursions. (English) Zbl 1124.60081 Ann. Appl. Probab. 17, No. 3, 953-979 (2007). MSC: 60K35 60J65 33E17 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Ann. Appl. Probab. 17, No. 3, 953--979 (2007; Zbl 1124.60081) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold The Pearcey process. (English) Zbl 1129.82031 Commun. Math. Phys. 263, No. 2, 381-400 (2006). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 82C41 15B52 60G55 60J65 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Commun. Math. Phys. 263, No. 2, 381--400 (2006; Zbl 1129.82031) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Matrix kernels for the Gaussian orthogonal and symplectic ensembles. (English) Zbl 1084.60022 Ann. Inst. Fourier 55, No. 6, 2197-2207 (2005). Reviewer: Utkir Rozikov (Tashkent) MSC: 60F99 47B34 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Ann. Inst. Fourier 55, No. 6, 2197--2207 (2005; Zbl 1084.60022) Full Text: DOI arXiv Numdam EuDML
Tracy, Craig A.; Widom, Harold Differential equations for Dyson processes. (English) Zbl 1124.82007 Commun. Math. Phys. 252, No. 1-3, 7-41 (2004). MSC: 82B41 60J60 47N20 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Commun. Math. Phys. 252, No. 1--3, 7--41 (2004; Zbl 1124.82007) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold A limit theorem for shifted Schur measures. (English) Zbl 1060.60025 Duke Math. J. 123, No. 1, 171-208 (2004). Reviewer: Fabio Scarabotti (Roma) MSC: 60F05 05E05 05E10 33E17 47B35 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Duke Math. J. 123, No. 1, 171--208 (2004; Zbl 1060.60025) Full Text: DOI arXiv
Gravner, Janko; Tracy, Craig A.; Widom, Harold A growth model in a random environment. (English) Zbl 1021.60083 Ann. Probab. 30, No. 3, 1340-1368 (2002). Reviewer: Yuri Kozitsky (Lublin) MSC: 60K35 82B44 05A16 33E17 PDFBibTeX XMLCite \textit{J. Gravner} et al., Ann. Probab. 30, No. 3, 1340--1368 (2002; Zbl 1021.60083) Full Text: DOI arXiv
Its, Alexander R.; Tracy, Craig A.; Widom, Harold Random words, Toeplitz determinants and integrable systems. II. (English) Zbl 0977.35103 Physica D 152-153, 199-224 (2001). MSC: 35Q15 68Q45 06B25 PDFBibTeX XMLCite \textit{A. R. Its} et al., Physica D 152--153, 199--224 (2001; Zbl 0977.35103) Full Text: DOI arXiv