scholarly journals High points of branching Brownian motion and McKean’s Martingale in the Bovier-Hartung extremal process

2018 ◽  
Vol 23 ◽  
Author(s):  
Constantin Glenz ◽  
Nicola Kistler ◽  
Marius A. Schmidt
Keyword(s):  
Brownian Motion ◽  
Extremal Process ◽  
Branching Brownian Motion

scholarly journals The extremal process of branching Brownian motion

2012 ◽  
Vol 157 (3-4) ◽  
pp. 535-574 ◽  
Author(s):  
Louis-Pierre Arguin ◽  
Anton Bovier ◽  
Nicola Kistler
Keyword(s):  
Brownian Motion ◽  
Extremal Process ◽  
Branching Brownian Motion

scholarly journals Poissonian statistics in the extremal process of branching Brownian motion

2012 ◽  
Vol 22 (4) ◽  
pp. 1693-1711 ◽  
Author(s):  
Louis-Pierre Arguin ◽  
Anton Bovier ◽  
Nicola Kistler
Keyword(s):  
Brownian Motion ◽  
Extremal Process ◽  
Branching Brownian Motion ◽  
Poissonian Statistics

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.

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