Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits

D. A. Dawson (), Z. Li () and X. Zhou ()
Additional contact information
D. A. Dawson: Carleton University
Z. Li: Beijing Normal University
X. Zhou: Concordia University

Journal of Theoretical Probability, 2004, vol. 17, issue 3, 673-692

Abstract: Abstract A Superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson et al. (Refs. 5, 19–20).

Keywords: Superprocess; coalescing spatial motion; excursions; scaling limit; Poisson random measure (search for similar items in EconPapers)
Date: 2004
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1023/B:JOTP.0000040293.67957.e3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:17:y:2004:i:3:d:10.1023_b:jotp.0000040293.67957.e3

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1023/B:JOTP.0000040293.67957.e3

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().