Home | Contents | Submissions, editors, etc. | Login | Search | ECP
 Electronic Journal of Probability > Vol. 8 (2003) > Paper 17 open journal systems 


Computation of Moments for the Length of the One Dimensional ISE Support

Jean-Francois Delmas,


Abstract
We consider in this paper the support $[L',R']$ of the one dimensional Integrated Super Brownian Excursion. We determine the distribution of $(R',L')$ through a modified Laplace transform. Then we give an explicit value for the first two moments of $R'$ as well as the covariance of $R'$ and ${L'}$.


Full text: PDF

Pages: 1-15

Published on: September 23, 2003
Bibliography
  1. David ALDOUS. Tree based models for random distribution of mass. J. Statist. Phys., 73(3-4):625-641, 1993.
    bib
  2. P CHASSAING and G. SCHAEFFER. Random planar lattices and Integrated SuperBrownian Excursion. In Proceedings of Mathematics and Computer Science, 2002.
    bib
  3. J.-F. DELMAS. Some properties of the range of super-Brownian motion. Probab. Th. Rel. Fields, 114(4):505-547, 1999.
    bib
  4. Jean-François LE GALL. The uniform random tree in a Brownian excursion. Probab. Th. Rel. Fields, 96:369-383, 1993.
    bib
  5. Jean-Françcois LE GALL. A path-valued Markov process and its connections with partial differential equations. In Proceedings in First European Congress of Mathematics, volume II, pages 185-212. Birkhäuser, Boston, 1994.
    bib
  6. Jean-François LE GALL. The Brownian snake and solutions of u =u2 in a domain. Probab. Th. Rel. Fields, 102:393-432, 1995.
    bib
  7. Jean-Françcois LE GALL. Spatial branching processes, random snakes and partial differential equations. Lectures in Mathematics, ETH Zürich. Birkhäuser, 1999.













Research
Support Tool
Capture Cite
View Metadata
Printer Friendly
Context
Author Address
Action
Email Author
Email Others


Home | Contents | Submissions, editors, etc. | Login | Search | ECP

Electronic Journal of Probability. ISSN: 1083-6489