On the density of branching Brownian motion

Name: On the density of branching Brownian motion
Author: Öz, Mehmet

İsim	On the density of branching Brownian motion
Yazar	Öz, Mehmet
Basım Tarihi:	2023-02-15
Basım Yeri	- Hacettepe University
Konu	Density, Large deviations, Neighborhood recurrence
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	2651-477X
Kayıt Numarası	0748f3a0-710a-4b41-a298-95835fed0148
Lokasyon	Natural and Mathematical Sciences
Tarih	2023-02-15
Örnek Metin	We consider a d-dimensional dyadic branching Brownian motion, and study the density of its support in the region where there is typically exponential growth of particles. Using geometric arguments and an extension of a previous result on the probability of absence of branching Brownian motion in linearly moving balls of fixed size, we obtain sharp asymptotic results on the covering radius of the support of branching Brownian motion, which is a measure of its density. As a corollary, we obtain large deviation estimates on the volume of the r(t)-enlargement of the support of branching Brownian motion when r(t) decays exponentially in time t. As a by-product, we obtain the lower tail asymptotics for the mass of branching Brownian motion falling in linearly moving balls of exponentially shrinking radius, which is of independent interest.
DOI	10.15672/hujms.1016517
Cilt	52

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On the density of branching Brownian motion

Yazar Öz, Mehmet

Basım Tarihi 2023-02-15

Basım Yeri - Hacettepe University

Konu Density, Large deviations, Neighborhood recurrence

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 2651-477X

Kayıt Numarası 0748f3a0-710a-4b41-a298-95835fed0148

Lokasyon Natural and Mathematical Sciences

Tarih 2023-02-15

Örnek Metin We consider a d-dimensional dyadic branching Brownian motion, and study the density of its support in the region where there is typically exponential growth of particles. Using geometric arguments and an extension of a previous result on the probability of absence of branching Brownian motion in linearly moving balls of fixed size, we obtain sharp asymptotic results on the covering radius of the support of branching Brownian motion, which is a measure of its density. As a corollary, we obtain large deviation estimates on the volume of the r(t)-enlargement of the support of branching Brownian motion when r(t) decays exponentially in time t. As a by-product, we obtain the lower tail asymptotics for the mass of branching Brownian motion falling in linearly moving balls of exponentially shrinking radius, which is of independent interest.

DOI 10.15672/hujms.1016517

Cilt 52