Geodesic
Functional central limit theorems for seeds in a linear birth and growth model
A. Dziwisz1 ; W. Szczotka2
1 Institute of Mathematics University of Wrocław 50-384 Wroclaw, Poland
2 Institute of Mathematics University of Wrocław 50-384 Wrocław, Poland
Applicationes Mathematicae, Tome 43 (2016) no. 1, pp. 1-24.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A problem of heredity of mixing properties ($\alpha $-mixing, $\beta $-mixing and $\rho $-mixing) from a stationary point process on $\mathbb R\times \mathbb R_{+}$ 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.
DOI : 10.4064/am2283-2-2016
Keywords: problem heredity mixing properties alpha mixing beta mixing rho mixing stationary point process mathbb times mathbb sequence its points called seeds considered using mixing properties several versions functional central limit theorems distances between seeds process number seeds obtained

A. Dziwisz 1 ; W. Szczotka 2

1 Institute of Mathematics University of Wrocław 50-384 Wroclaw, Poland
2 Institute of Mathematics University of Wrocław 50-384 Wrocław, Poland 
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A. Dziwisz; W. Szczotka. Functional central limit theorems for seeds in a linear birth and growth model. Applicationes Mathematicae, Tome 43 (2016) no. 1, pp. 1-24. doi : 10.4064/am2283-2-2016. http://geodesic.mathdoc.fr/articles/10.4064/am2283-2-2016/

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