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. Bertoin, Jean. Random fragmentation and coagulation processes.Cambridge Studies in Advanced Mathematics, 102. Cambridge University Press, Cambridge, 2006. viii+280 pp. ISBN: 978-0-521-86728-3; 0-521-86728-2 MR2253162 (Review)
  2. Dembo, Amir; Zeitouni, Ofer. Large deviations techniques and applications.Second edition.Applications of Mathematics (New York), 38. Springer-Verlag, New York, 1998. xvi+396 pp. ISBN: 0-387-98406-2 MR1619036 (99d:60030)
  3. Diaconis, Persi; Mayer-Wolf, Eddy; Zeitouni, Ofer; Zerner, Martin P. W. The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge transformations. Ann. Probab. 32 (2004), no. 1B, 915--938. MR2044670 (2005e:60232)
  4. Liggett, Thomas M. Random invariant measures for Markov chains, and independent particle systems. Z. Wahrsch. Verw. Gebiete 45 (1978), no. 4, 297--313. MR0511776 (80b:60135)
  5. Ruzmaikina, Anastasia; Aizenman, Michael. Characterization of invariant measures at the leading edge for competing particle systems. Ann. Probab. 33 (2005), no. 1, 82--113. MR2118860 (2005j:60105)


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