scholarly journals Critical branching Brownian motion with absorption: Particle configurations

2015 ◽  
Vol 51 (4) ◽  
pp. 1215-1250 ◽  
Author(s):  
Julien Berestycki ◽  
Nathanaël Berestycki ◽  
Jason Schweinsberg
Keyword(s):  
Brownian Motion ◽  
Branching Brownian Motion

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 Critical branching Brownian motion with killing

2015 ◽  
Vol 20 (0) ◽  
Author(s):  
Steven Lalley ◽  
Bowei Zheng
Keyword(s):  
Brownian Motion ◽  
Branching Brownian Motion

Hyperbolic branching Brownian motion

1997 ◽  
Vol 108 (2) ◽  
pp. 171-192 ◽  
Author(s):  
Steven P. Lalley ◽  
Tom Sellke
Keyword(s):  
Brownian Motion ◽  
Branching Brownian Motion

Extremes in Branching Random Walk and Branching Brownian Motion

2013 ◽  
Vol 10 (2) ◽  
pp. 1205-1251
Author(s):  
Louigi Addario-Berry ◽  
Nathanaël Berestycki ◽  
Nina Gantert
Keyword(s):  
Brownian Motion ◽  
Random Walk ◽  
Branching Random Walk ◽  
Branching Brownian Motion
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