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 ... 
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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