Survival of branching Brownian motion in a uniform trap field

Name: Survival of branching Brownian motion in a uniform trap field
Author: Öz, Mehmet

İsim	Survival of branching Brownian motion in a uniform trap field
Yazar	Öz, Mehmet
Basım Tarihi:	2016-03
Basım Yeri	- Elsevier
Konu	Branching Brownian motion, Poissonian traps, Random environment, Hard obstacles
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Kayıt Numarası	3a556840-fb0b-4e77-869b-69356375d063
Lokasyon	Natural and Mathematical Sciences
Tarih	2016-03
Notlar	Due to copyright restrictions, the access to the full text of this article is only available via subscription.
Örnek Metin	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 probability, conditioned on non-extinction. The method of proof is to use a skeleton decomposition for the Galton–Watson process underlying Z and to show that the particles of finite line of descent do not contribute to the survival asymptotics. This work is a follow-up to Öz and Çağlar (2013) and solves the problem considered therein completely.
DOI	10.1016/j.spl.2015.10.010
Cilt	110

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Survival of branching Brownian motion in a uniform trap field

Yazar Öz, Mehmet

Basım Tarihi 2016-03

Basım Yeri - Elsevier

Konu Branching Brownian motion, Poissonian traps, Random environment, Hard obstacles

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Kayıt Numarası 3a556840-fb0b-4e77-869b-69356375d063

Lokasyon Natural and Mathematical Sciences

Tarih 2016-03

Notlar Due to copyright restrictions, the access to the full text of this article is only available via subscription.

Örnek Metin 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 probability, conditioned on non-extinction. The method of proof is to use a skeleton decomposition for the Galton–Watson process underlying Z and to show that the particles of finite line of descent do not contribute to the survival asymptotics. This work is a follow-up to Öz and Çağlar (2013) and solves the problem considered therein completely.

DOI 10.1016/j.spl.2015.10.010

Cilt 110