The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off


  • Baik, Jinho. Painlevé formulas of the limiting distributions for nonnull complex sample covariance matrices. Duke Math. J. 133 (2006), no. 2, 205--235. MR2225691
  • Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 33 (2005), no. 5, 1643--1697. MR2165575
  • Baik, Jinho; Deift, Percy; McLaughlin, Ken T.-R.; Miller, Peter; Zhou, Xin. Optimal tail estimates for directed last passage site percolation with geometric random variables. Adv. Theor. Math. Phys. 5 (2001), no. 6, 1207--1250. MR1926668
  • Baik, Jinho; Liechty, Karl; Schehr, Grégory. On the joint distribution of the maximum and its position of the $\rm Airy_ 2$ process minus a parabola. J. Math. Phys. 53 (2012), no. 8, 083303, 13 pp. MR3012644
  • J. Baik and Z. Liu. Discrete Toeplitz/Hankel determinants and the width of non-intersecting processes, 2012. arXiv:1212.4467, to appear in Int. Math. Res. Not.
  • Baik, Jinho; Rains, Eric M. Limiting distributions for a polynuclear growth model with external sources. J. Statist. Phys. 100 (2000), no. 3-4, 523--541. MR1788477
  • Baik, Jinho; Rains, Eric M. The asymptotics of monotone subsequences of involutions. Duke Math. J. 109 (2001), no. 2, 205--281. MR1845180
  • Baik, Jinho; Rains, Eric M. Symmetrized random permutations. Random matrix models and their applications, 1--19, Math. Sci. Res. Inst. Publ., 40, Cambridge Univ. Press, Cambridge, 2001. MR1842780
  • Borodin, Alexei. Longest increasing subsequences of random colored permutations. Electron. J. Combin. 6 (1999), Research Paper 13, 12 pp. (electronic). MR1667453
  • Borodin, Alexei; Ferrari, Patrik L.; Sasamoto, Tomohiro. Transition between ${\rm Airy}_ 1$ and ${\rm Airy}_ 2$ processes and TASEP fluctuations. Comm. Pure Appl. Math. 61 (2008), no. 11, 1603--1629. MR2444377
  • Corwin, Ivan. The Kardar-Parisi-Zhang equation and universality class. Random Matrices Theory Appl. 1 (2012), no. 1, 1130001, 76 pp. MR2930377
  • I. Corwin, Z. Liu, and D. Wang. in preparation.
  • Corwin, Ivan; Quastel, Jeremy; Remenik, Daniel. Continuum statistics of the ${\rm Airy}_ 2$ process. Comm. Math. Phys. 317 (2013), no. 2, 347--362. MR3010187
  • Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. Painlevé transcendents. The Riemann-Hilbert approach. Mathematical Surveys and Monographs, 128. American Mathematical Society, Providence, RI, 2006. xii+553 pp. ISBN: 0-8218-3651-X MR2264522
  • Hastings, S. P.; McLeod, J. B. A boundary value problem associated with the second Painlevé transcendent and the Korteweg-de\thinspace Vries equation. Arch. Rational Mech. Anal. 73 (1980), no. 1, 31--51. MR0555581
  • Imamura, T.; Sasamoto, T. Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition. J. Stat. Phys. 128 (2007), no. 4, 799--846. MR2344715
  • Johansson, Kurt. Shape fluctuations and random matrices. Comm. Math. Phys. 209 (2000), no. 2, 437--476. MR1737991
  • Johansson, Kurt. Transversal fluctuations for increasing subsequences on the plane. Probab. Theory Related Fields 116 (2000), no. 4, 445--456. MR1757595
  • Johansson, Kurt. Discrete polynuclear growth and determinantal processes. Comm. Math. Phys. 242 (2003), no. 1-2, 277--329. MR2018275
  • Moreno Flores, Gregorio; Quastel, Jeremy; Remenik, Daniel. Endpoint distribution of directed polymers in $1+1$ dimensions. Comm. Math. Phys. 317 (2013), no. 2, 363--380. MR3010188
  • Prähofer, Michael; Spohn, Herbert. Current fluctuations for the totally asymmetric simple exclusion process. In and out of equilibrium (Mambucaba, 2000), 185--204, Progr. Probab., 51, Birkhäuser Boston, Boston, MA, 2002. MR1901953
  • Prähofer, Michael; Spohn, Herbert. Scale invariance of the PNG droplet and the Airy process. Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays. J. Statist. Phys. 108 (2002), no. 5-6, 1071--1106. MR1933446
  • J. Quastel and D. Remenik. Airy processes and variational problems. arXiv:1301.0750.
  • Quastel, Jeremy; Remenik, Daniel. Supremum of the $\rm Airy_ 2$ process minus a parabola on a half line. J. Stat. Phys. 150 (2013), no. 3, 442--456. MR3024136
  • Sasamoto, T.; Imamura, T. Fluctuations of the one-dimensional polynuclear growth model in half-space. J. Statist. Phys. 115 (2004), no. 3-4, 749--803. MR2054161
  • Schehr, Grégory. Extremes of $N$ vicious walkers for large $N$: application to the directed polymer and KPZ interfaces. J. Stat. Phys. 149 (2012), no. 3, 385--410. MR2992794
  • Tracy, Craig A.; Widom, Harold. Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1994), no. 1, 151--174. MR1257246
  • Tracy, Craig A.; Widom, Harold. On orthogonal and symplectic matrix ensembles. Comm. Math. Phys. 177 (1996), no. 3, 727--754. MR1385083
  • Tracy, Craig A.; Widom, Harold. Random unitary matrices, permutations and Painlevé. Comm. Math. Phys. 207 (1999), no. 3, 665--685. MR1727236

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.