Functional central limit theorems for seeds in a linear birth and growth model

A. Dziwisz, and W. Szczotka. "Functional central limit theorems for seeds in a linear birth and growth model." Applicationes Mathematicae 43.1 (2016): 1-24. <http://eudml.org/doc/286667>.

@article{A2016,
abstract = {A problem of heredity of mixing properties (α-mixing, β-mixing and ρ-mixing) from a stationary point process on ℝ × ℝ₊ to a sequence of some of its points called 'seeds' is considered. Next, using the mixing properties, several versions of functional central limit theorems for the distances between seeds and the process of the number of seeds are obtained.},
author = {A. Dziwisz, W. Szczotka},
journal = {Applicationes Mathematicae},
keywords = {stationary point process; mixing properties; functional central limit theorem},
language = {eng},
number = {1},
pages = {1-24},
title = {Functional central limit theorems for seeds in a linear birth and growth model},
url = {http://eudml.org/doc/286667},
volume = {43},
year = {2016},
}

TY - JOUR
AU - A. Dziwisz
AU - W. Szczotka
TI - Functional central limit theorems for seeds in a linear birth and growth model
JO - Applicationes Mathematicae
PY - 2016
VL - 43
IS - 1
SP - 1
EP - 24
AB - A problem of heredity of mixing properties (α-mixing, β-mixing and ρ-mixing) from a stationary point process on ℝ × ℝ₊ to a sequence of some of its points called 'seeds' is considered. Next, using the mixing properties, several versions of functional central limit theorems for the distances between seeds and the process of the number of seeds are obtained.
LA - eng
KW - stationary point process; mixing properties; functional central limit theorem
UR - http://eudml.org/doc/286667
ER -