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Fluctuation limits of multitype branching random fields

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  • López-Mimbela, J. Alfredo

Abstract

A system of particles of k types with immigration in Rd is considered. Each particle, according to its type, independently migrates following a symmetric stable process, lives an exponential amount of time and produces particles of all the types. The asymptotic behavior of the vector measure valued process difined by the system is studied for three different rescalings. The results are laws of large numbers, functional central limit theorems, and properties of the generalized fluctuation limit processes (continuity, Langevin equations, large time behavior, spectral measures). These results include the known ones for the single type case.

Suggested Citation

  • López-Mimbela, J. Alfredo, 1992. "Fluctuation limits of multitype branching random fields," Journal of Multivariate Analysis, Elsevier, vol. 40(1), pages 56-83, January.
    • Handle: RePEc:eee:jmvana:v:40:y:1992:i:1:p:56-83
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    Cited by:

    1. Luis G. Gorostiza & Reyla A. Navarro & Eliane R. Rodrigues, 2004. "Some Long-Range Dependence Processes Arising from Fluctuations of Particle Systems," RePAd Working Paper Series lrsp-TRS401, Département des sciences administratives, UQO.

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