Browsing Natural and Mathematical Sciences by Subject "Density"

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On the density of branching Brownian motion

Öz, Mehmet (Hacettepe University, 2023-02-15)

We consider a d-dimensional dyadic branching Brownian motion, and study the density of its support in the region where there is typically exponential growth of particles. Using geometric arguments and an extension of a ...
On the volume of the shrinking branching Brownian sausage

Öz, Mehmet (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 ...