On the volume of the shrinking branching Brownian sausage

Name: On the volume of the shrinking branching Brownian sausage
Author: Öz, Mehmet

İsim	On the volume of the shrinking branching Brownian sausage
Yazar	Öz, Mehmet
Basım Tarihi:	2020
Basım Yeri	- The Institute of Mathematical Statistics and the Bernoulli Society
Konu	Branching Brownian motion, Density, Sausage, Strong law of large numbers
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	1083-589X
Kayıt Numarası	0336d579-6c9e-46ff-b039-f7c127fc17cf
Lokasyon	Natural and Mathematical Sciences
Tarih	2020
Örnek Metin	The branching Brownian sausage in R-d was defined in [4] similarly to the classical Wiener sausage, as the random subset of R-d scooped out by moving balls of fixed radius with centers following the trajectories of the particles of a branching Brownian motion (BBM). We consider a d-dimensional dyadic BBM, and study the large-time asymptotic behavior of the volume of the associated branching Brownian sausage (BBM-sausage) with radius exponentially shrinking in time. Using a previous result on the density of the support of BBM, and some well-known results on the classical Wiener sausage and Brownian hitting probabilities, we obtain almost sure limit theorems as time tends to infinity on the volume of the shrinking BBM-sausage in all dimensions.
DOI	10.1214/20-ECP316
Cilt	25

Kaynağa git Özyeğin Üniversitesi

Aramaya Dön

Özyeğin Üniversitesi

Kaynağa git

On the volume of the shrinking branching Brownian sausage

Yazar Öz, Mehmet

Basım Tarihi 2020

Basım Yeri - The Institute of Mathematical Statistics and the Bernoulli Society

Konu Branching Brownian motion, Density, Sausage, Strong law of large numbers

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 1083-589X

Kayıt Numarası 0336d579-6c9e-46ff-b039-f7c127fc17cf

Lokasyon Natural and Mathematical Sciences

Tarih 2020

Örnek Metin The branching Brownian sausage in R-d was defined in [4] similarly to the classical Wiener sausage, as the random subset of R-d scooped out by moving balls of fixed radius with centers following the trajectories of the particles of a branching Brownian motion (BBM). We consider a d-dimensional dyadic BBM, and study the large-time asymptotic behavior of the volume of the associated branching Brownian sausage (BBM-sausage) with radius exponentially shrinking in time. Using a previous result on the density of the support of BBM, and some well-known results on the classical Wiener sausage and Brownian hitting probabilities, we obtain almost sure limit theorems as time tends to infinity on the volume of the shrinking BBM-sausage in all dimensions.

DOI 10.1214/20-ECP316

Cilt 25