Super-Brownian motion: Path properties and hitting probabilities

1989 ◽  
Vol 83 (1-2) ◽  
pp. 135-205 ◽  
Author(s):  
D. A. Dawson ◽  
I. Iscoe ◽  
E. A. Perkins
Keyword(s):  
Brownian Motion ◽  
Motion Path ◽  
Hitting Probabilities ◽  
Super Brownian Motion ◽  
Path Properties

scholarly journals An Application of the Backbone Decomposition to Supercritical Super-Brownian Motion with a Barrier

2012 ◽  
Vol 49 (03) ◽  
pp. 671-684
Author(s):  
A. E. Kyprianou ◽  
A. Murillo-Salas ◽  
J. L. Pérez
Keyword(s):  
Brownian Motion ◽  
Wave Equation ◽  
Relative Ease ◽  
Branching Brownian Motion ◽  
Analytical Properties ◽  
Super Brownian Motion ◽  
Exit Measure ◽  
The Right

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.

scholarly journals Kolmogorov's test for super-Brownian motion

1998 ◽  
Vol 26 (3) ◽  
pp. 1041-1056 ◽  
Author(s):  
Jean-Stéphane Dhersin ◽  
Jean-François Le Gall
Keyword(s):  
Brownian Motion ◽  
Super Brownian Motion

Rescaled Particle Systems Converging to Super-Brownian Motion

1999 ◽  
pp. 269-284 ◽  
Author(s):  
Ted Cox ◽  
Richard Durrett ◽  
Edwin A. Perkins
Keyword(s):  
Brownian Motion ◽  
Particle Systems ◽  
Super Brownian Motion
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