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

References

  1. Alberts, T., Khanin, K., and Quastel, J. (2010). The intermediate disorder regime for directed polymers in dimension 1+1. Phys. Rev. Lett., 105.
  2. Amir, Gideon; Corwin, Ivan; Quastel, Jeremy. Probability distribution of the free energy of the continuum directed random polymer in $1+1$ dimensions. Comm. Pure Appl. Math. 64 (2011), no. 4, 466--537. MR2796514 (Review)
  3. Bertini, Lorenzo; Giacomin, Giambattista. Stochastic Burgers and KPZ equations from particle systems. Comm. Math. Phys. 183 (1997), no. 3, 571--607. MR1462228 (99e:60212)
  4. Corwin, I. (2012). The Kardar-Parisi-Zhang equation and universality class. Random Matrices: Theory and Appl., 1(1130001).
  5. Corwin, I. and Quastel, J. (2011). Universal distribution of fluctuations at the edge of the rarefaction fan. To appear in Ann. Probab.
  6. Edwards, S. and Wilkinson, D. (1982). The surface statistics of a granular aggregate. Proc. R. Soc. Lond. A, 381, 1731.
  7. Gärtner, Jürgen. Convergence towards Burgers' equation and propagation of chaos for weakly asymmetric exclusion processes. Stochastic Process. Appl. 27 (1988), no. 2, 233--260. MR0931030 (89e:60200)
    8. .
  8. Hairer, M. (2011). Solving the KPZ equation. arXiv:1109.6811.
  9. Kardar, M., Parisi, G., and Zhang, Y.-C. (1986). Dynamical scaling of growing interfaces. Phys. Rev. Lett., 56(9), 889-892.
  10. Liggett, Thomas M. Interacting particle systems.Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 276. Springer-Verlag, New York, 1985. xv+488 pp. ISBN: 0-387-96069-4 MR0776231 (86e:60089)
  11. Moreno, G. F., Quastel, J., and Remenik, D. (2011). Intermediate disorder for directed polymers with boundary conditions. In preparation.
  12. Quastel, J. (2011). The Kardar-Parisi-Zhang equation. To appear in Current Developments in Mathematics, 2011.
Bookmark and Share


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