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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.