Title
An Application Of The Backbone Decomposition To Supercritical Super-Brownian Motion With A Barrier
Abstract
We analyse the behaviour of supercritical super-Brownian motion with a barrier through the pathwise backbone embedding of Berestycki, Kyprianou and Murillo-Salas (2011). In particular, by considering existing results for branching Brownian motion due to Harris and Kyprianou (2006) and Maillard (2011), we obtain, with relative ease, conclusions regarding the growth in the right-most point in the support, analytical properties of the associated one-sided Fisher-Kolmogorov-Petrovskii-Piscounov wave equation, as well as the distribution of mass on the exit measure associated with the barrier.
Year
DOI
Venue
2012
10.1239/jap/1346955325
JOURNAL OF APPLIED PROBABILITY
Keywords
Field
DocType
Super-Brownian motion, backbone decomposition, killed super-Brownian motion
Statistical physics,Diffusion process,Supercritical fluid,Combinatorics,Embedding,Mathematical physics,Wave equation,Brownian motion,Mathematics,Geometric Brownian motion,Branching (version control),Decomposition
Journal
Volume
Issue
ISSN
49
3
0021-9002
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Andreas E. Kyprianou1175.31
Antonio Murillo-Salas200.34
José Luis Pérez300.34