Limit Theorems for Branching Diffusions in Hydrodynamical Rescaling | Zendy

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Limit Theorems for Branching Diffusions in Hydrodynamical Rescaling

Author(s) -

Dittrich Peter

Publication year - 1987

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19871310106

Subject(s) - mathematics , limit (mathematics) , branching (polymer chemistry) , central limit theorem , moment (physics) , second moment of area , mathematical analysis , mathematical physics , statistical physics , physics , classical mechanics , geometry , statistics , materials science , composite material

The hydrodynamical limit is studied for infinite systems of B ROWN ian particles in R d , d = 3, which branch out at exponentially distributed times according to a critical offspring distribution with finite second moment. In the second part a central limit theorem for the hydrodynamical fluctuations is derived in the case, when the branching mechanism has a finite third moment.

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