Keywords
- Brownian Motion
- Random Walk
- Binary Tree
- Parent Individual
- Simple Random Walk
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aldous, D.J.; The continuum random tree. I., Annals of Probability, 19, 1–28, 1991.
Aldous, D.J.; The continuum random tree. II: an overview, In Proceedings of the Durham Symposium on Stochastic Analysis, 1990, Editors, Barlow, M.T. and Bingham, N.H.. Cambridge University Press. 23–70, 1991.
Aldous, D.J.; The continuum random tree. III., Annals of Probability, 21, 248–289, 1993.
Harris, T.E.; First passage and recurrence distributions, Transactions of the American Mathematical Society, 73, 471–486, 1952.
Le Gall, J-F.; Marches aléatoires, mouvement brownien et processus de branchement, Séminaire de Probabilités, XXIII, 447–464, 1989.
Le Gall, J-F.; Brownian excursions, trees and measure-valued branching processes, Annals of Probability, 19, 1399–1439, 1991.
Le Gall, J-F.; The uniform random tree in a Brownian excursion, Probability Theory and Related Fields, 96, 369–383, 1993.
Neveu, J; Arbes et processus de Galton-Watson, Annales de l'Institute Henri Poincaré, Série B, 22, 199–207, 1986.
Neveu, J. and Pitman, J.; Renewal property of the extrema and tree property of a one-dimensional Brownian motion, Séminaire de Probabilités, XXIII, 239–247, 1989.
Neveu, J. and Pitman, J.; The branching process in a Brownian excursion, Séminaire de Probabilités, XXIII, 248–257, 1989.
Pitman, J.; Partition structures derived from Brownian motion and stable subordinators Bernoulli, 3, 79–96, 1997.
Pitman, J.; Brownian motion, bridge, excursion, and meander characterized by sampling at independent uniform times, Technical Report No. 545, Department of Statistics, Berkeley, 1999.
Rogers, L.C.G. and Williams, D.; Diffusions, Markov processes and Martingales, Vol. 2, Wiley, Chichester, 1987.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag
About this chapter
Cite this chapter
Hobson, D.G. (2000). Marked excursions and random trees. In: Azéma, J., Ledoux, M., Émery, M., Yor, M. (eds) Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics, vol 1729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103808
Download citation
DOI: https://doi.org/10.1007/BFb0103808
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67314-9
Online ISBN: 978-3-540-46413-6
eBook Packages: Springer Book Archive
