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. R. Abraham, J.F. Delmas, Williams' decomposition of the Levy continuous random tree and simultaneous extinction probability for populations with neutral mutations. Stoch. Process. Appl. 119 (2009), 1124-1143. MR2508567
  2. D. Aldous, The continuum random tree. I, Ann. Probab. 19 (1991), 1--28. MR1085326
  3. D. Aldous, The continuum random tree. II. An overview, in: Stochastic analysis (Durham, 1990), 23--70, Cambridge Univ. Press, Cambridge. MR1166406
  4. D. Aldous, The continuum random tree. III, Ann. Probab. 21 (1993), 248--289. MR1207226
  5. D. Aldous, Tree-based models for random distribution of mass, J. Statist. Phys. 73 (1993), 625--641. MR1251658
  6. J. Bertoin, Levy Processes. Cambridge University Press, Cambridge, 1996. MR1406564
  7. B. Chen, D. Ford, M. Winkel, A new family of Markov branching trees: the alpha-gamma model. Electr. J. Probab. 14 (2009), 400-430. MR2480547
  8. T. Duquesne, A limit theorem for the contour process of conditioned Galton-Watson trees. Ann. Probab. 31 (2003), 996-1027. MR1964956
  9. T. Duquesne, J.F. Le Gall, Random Trees, Levy Processes and Spatial Branching Processes. Asterisque 281 (2002) MR1954248
  10. T. Duquesne, J.F. Le Gall, Probabilistic and fractal aspects of Levy trees. Probab. Th. Rel. Fields 131 (2005), 553-603. MR2147221
  11. S.N. Evans, J.W. Pitman, A. Winter, Rayleigh processes, real trees and root growth with re-grafting. Probab. Th. Rel. Fields 134 (2006), 81-126. MR2221786
  12. M. Gromov, Metric Structures for Riemannian and Non-Riemannian Spaces. Progress in Mathematics. Birkh"auser, Boston, 1999. MR1699320
  13. B. Haas, G. Miermont, The genealogy of self-similar fragmentations with negative index as a continuum random tree. Electr. J. Probab. 9 (2004), 57-97. MR2041849
  14. B. Haas, G. Miermont, J.W. Pitman, M. Winkel, Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models. Ann. Probab. 36 (2008), 1790-1837. MR2440924
  15. B. Haas, J.W. Pitman, M. Winkel, Spinal partitions and invariance under re-rooting of continuum random trees. Ann. Probab., to appear.
  16. J.F. Le Gall, The topological structure of scaling limits of large planar maps. Invent. Math. 169 (2007), 621-670. MR2336042
  17. J.F. Le Gall, Y. Le Jan, Branching processes in Levy processes: The exploration process. Ann. Probab. 26 (1998), 213-252. MR1617047
  18. J.F. Le Gall, M. Weill, Conditioned Brownian trees. Ann. Inst. H. Poincare, Probab. Stat. 42 (2006), 455-489. MR2242956
  19. P. Marchal, A note on the fragmentation of the stable tree. In: Fifth Colloquium on Mathematics and Computer Science. DMCTS Proceedings AI (2008), 489-500.
  20. J.F. Marckert, A. Mokkadem, A., Limit of normalized quadrangulations: the Brownian map. Ann. Probab. 34 (2006), 2144--2202. MR2294979
  21. J. Pitman, Combinatorial Stochastic Processes. Lectures Notes Math. 1875. Springer, Berlin, 2006. MR2245368
  22. M. Weill, Regenerative real trees. Ann. Probab. 35 (2007), 2091-2121. MR2353384


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