catalytic branching
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scholarly journals Branching Brownian motion with spatially homogeneous and point-catalytic branching

2019 ◽  
Vol 56 (3) ◽  
pp. 891-917
Author(s):  
Sergey Bocharov ◽  
Li Wang
Keyword(s):  
Brownian Motion ◽  
Asymptotic Behaviour ◽  
Growth Rates ◽  
Single Point ◽  
Time Dependent ◽  
First Order ◽  
Branching Brownian Motion ◽  
Catalytic Branching ◽  
Spatially Homogeneous

AbstractWe consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.

Maximum of a catalytic branching random walk

2019 ◽  
Vol 74 (3) ◽  
pp. 546-548 ◽  
Author(s):  
E. Vl. Bulinskaya
Keyword(s):  
Random Walk ◽  
Branching Random Walk ◽  
Catalytic Branching
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