Browsing Natural and Mathematical Sciences by Subject "Branching Brownian motion"
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Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles
(Institute of Mathematical Statistics, 2017)We study a branching Brownian motion ZZ in RdRd, among obstacles scattered according to a Poisson random measure with a radially decaying intensity. Obstacles are balls with constant radius and each one works as a trap for ... -
Large deviations for local mass of branching Brownian motion
(Instituto Nacional de Matematica Pura e Aplicada, 2020)We study the local mass of a dyadic branching Brownian motion Z evolving in R-d. By 'local mass', we refer to the number of particles of Z that fall inside a ball with fixed radius and time-dependent center, lying in the ... -
On the volume of the shrinking branching Brownian sausage
(The Institute of Mathematical Statistics and the Bernoulli Society, 2020)The branching Brownian sausage in R-d was defined in [4] similarly to the classical Wiener sausage, as the random subset of R-d scooped out by moving balls of fixed radius with centers following the trajectories of the ... -
Optimal survival strategy for branching Brownian motion in a Poissonian trap field
(Institut Henri Poincaré, 2019-11)We study a branching Brownian motion Z with a generic branching law, evolving in R-d, where a field of Poissonian traps is present. Each trap is a ball with constant radius. The traps are hard in the sense that the process ... -
Survival of branching Brownian motion in a uniform trap field
(Elsevier, 2016-03)We study a branching Brownian motion Z evolving in Rd, where a uniform field of Poissonian traps are present. We consider a general offspring distribution for Z and find the asymptotic decay rate of the annealed survival ...
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