[Turkmath:1165] Gebze Technical University, Department of Mathematics Colloquium

[Tülay Yıldırım]

Sayın liste üyeleri,



Gebze Teknik Üniversitesi, Matematik Bölümü Genel Seminerleri kapsamında,

25 Mart Cuma günü saat 14:00'da Yrd. Dr. Mehmet ÖZ
(Özyeğin Üniversitesi) Matematik Bölümü seminer salonunda bir seminer

verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.

Saygılarımızla,



Title      :  Survival of Branching Brownian Motion in a Random Trap Field

Abstract : We study a branching Brownian motion Z evolving in R^d , where a radially decaying field of Poissonian traps is present. Each trap is a ball with constant radius. Considering a general offspring distribution and conditioning Z on non-extinction, we find the asymptotic decay rate of the annealed probability that none of the particles of Z hits a trap. The method of proof is to use a skeleton decomposition for the GaltonWatson process underlying Z and to show that the particles of finite line of descent do not contribute to the survival asymptotics. On the way, a convergence result on the conditional speed of branching Brownian motion is proved.



Dear all,

There will be a seminar in Gebze Technical University  on 25th of
March by  Assist . Prof. Mehmet ÖZ  (Özyeğin University)
Time  and  place:  At 14:00 in Department of Mathematics  Building I, Auditorium.



Title      :  Survival of Branching Brownian Motion in a Random Trap Field

Abstract : We study a branching Brownian motion Z evolving in R^d , where a radially decaying field of Poissonian traps is present. Each trap is a ball with constant radius. Considering a general offspring distribution and conditioning Z on non-extinction, we find the asymptotic decay rate of the annealed probability that none of the particles of Z hits a trap. The method of proof is to use a skeleton decomposition for the GaltonWatson process underlying Z and to show that the particles of finite line of descent do not contribute to the survival asymptotics. On the way, a convergence result on the conditional speed of branching Brownian motion is proved.



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