5 papers
On the volume of the shrinking branching Brownian sausage
Mehmet Öz
The branching Brownian sausage in was defined by Engländer in [Stoch. Proc. Appl. 88 (2000)] similarly to the classical Wiener sausage, as the random subset of $\mat…
On the density of branching Brownian motion in subcritical balls
Mehmet Öz
We study the density of the support of a dyadic -dimensional branching Brownian motion (BBM) in subcritical balls in . Using elementary geometric arguments and an…
Large deviations for local mass of branching Brownian motion
Mehmet Öz
We study the local mass of a dyadic branching Brownian motion evolving in . By 'local mass,' we refer to the number of particles of that fall inside a ball wi…
Optimal survival strategy for branching Brownian motion in a Poissonian trap field
Mehmet Öz, János Engländer
We study a branching Brownian motion with a generic branching law, evolving in , where a field of Poissonian traps is present. Each trap is a ball with constant r…
Subdiffusivity of Brownian motion among a Poissonian field of moving traps
Mehmet Öz
Our model consists of a Brownian particle moving in , where a Poissonian field of moving traps is present. Each trap is a ball with constant radius, centered at a t…