Browsing Faculty of Engineering by OzU Authors "Öz, Mehmet"
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Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles
Öz, Mehmet; Çağlar, M.; Engländer, J. (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
Öz, Mehmet (Instituto Nacional de Matematica Pura e Aplicada, 2020)We study the local mass of a dyadic branching Brownian motion Z evolving in Rd. By 'local mass', we refer to the number of particles of Z that fall inside a ball with fixed radius and timedependent center, lying in the ... 
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 Rd was defined in [4] similarly to the classical Wiener sausage, as the random subset of Rd 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
Öz, Mehmet; Engländer, J. (Institut Henri Poincaré, 201911)We study a branching Brownian motion Z with a generic branching law, evolving in Rd, 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 ... 
Subdiffusivity of brownian motion among a poissonian field of moving traps
Öz, Mehmet (Instituto Nacional de Matematica Pura e Aplicada, 2019)Our model consists of a Brownian particle X moving in N, where a Poissonian field of moving traps is present. Each trap is a ball with constant radius, centered at a trap point, and each trap point moves under a Brownian ... 
Survival of branching Brownian motion in a uniform trap field
Öz, Mehmet (Elsevier, 201603)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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