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

  • Aldous, D.; Diaconis, P. Hammersley's interacting particle process and longest increasing subsequences. Probab. Theory Related Fields 103 (1995), no. 2, 199--213. MR1355056
  • Balázs, Márton. Growth fluctuations in a class of deposition models. Ann. Inst. H. Poincaré Probab. Statist. 39 (2003), no. 4, 639--685. MR1983174
  • Balázs, M.; Cator, E.; Seppäläinen, T. Cube root fluctuations for the corner growth model associated to the exclusion process. Electron. J. Probab. 11 (2006), no. 42, 1094--1132 (electronic). MR2268539
  • Balázs, Márton; Seppäläinen, Timo. Fluctuation bounds for the asymmetric simple exclusion process. ALEA Lat. Am. J. Probab. Math. Stat. 6 (2009), 1--24. MR2485877
  • 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
  • Cator, Eric; Groeneboom, Piet. Second class particles and cube root asymptotics for Hammersley's process. Ann. Probab. 34 (2006), no. 4, 1273--1295. MR2257647
  • E. Cator and L.P.R. Pimentel, Busemman functions and equilibrium measures in last-passage percolation models., To appear in phProbab. Theory Relat. Fields. Available from phPTRF Online First (2011).
  • Cator, Eric; Pimentel, Leandro P. R. A shape theorem and semi-infinite geodesics for the Hammersley model with random weights. ALEA Lat. Am. J. Probab. Math. Stat. 8 (2011), 163--175. MR2783936
  • Hammersley, J. M. A few seedlings of research. Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971), Vol. I: Theory of statistics, pp. 345--394. Univ. California Press, Berkeley, Calif., 1972. MR0405665
  • Ferrari, P. A.; Fontes, L. R. G. Current fluctuations for the asymmetric simple exclusion process. Ann. Probab. 22 (1994), no. 2, 820--832. MR1288133


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