Branching Brownian motion with spatially homogeneous and point-catalytic branching
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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.
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2014 ◽
Vol 134
(1)
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pp. 201-228
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2015 ◽
Vol 125
(5)
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pp. 2096-2145
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1976 ◽
Vol 56
(2)
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pp. 71-78
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2015 ◽
Vol 51
(4)
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pp. 1215-1250
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2017 ◽
Vol 23
(5)
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pp. 415-425
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1987 ◽
Vol 15
(3)
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pp. 1052-1061
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