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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Studia Scientiarum Mathematicarum Hungarica
Article . 2001 . Peer-reviewed
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https://dx.doi.org/10.1556/ssc...
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Clustering of the critical branching process on the plane

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2001Publisher:Akademiai Kiado Zrt.Journal:Studia Scientiarum Mathematicarum Hungarica, volume 38, pages 357-366 (issn: 0081-6906, eissn: 1588-2896, Copyright policy )
Authors: Révész, P.;

doi: 10.1556/sscmath.38.2001.1-4.26

Clustering of the critical branching process on the plane

Abstract

Let be a Poisson random field in R d . Attimet= 0 a critical branching Wiener process is startingfrom eachP 2. It turns out that after a time the particles will be located in dense, small clusters and between these clusters empty domains are located.

Related Organizations
Keywords

critical branching process, Wiener process, Strong limit theorems, Branching processes (Galton-Watson, birth-and-death, etc.), Gaussian processes, Point processes (e.g., Poisson, Cox, Hawkes processes), Poisson process, clusters, strong laws

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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