Occupation time fluctuations of Poisson and equilibrium finite variance branching systems

• Autorzy: Miłoś P.
• Języki publikacji: EN

Abstrakty

EN

Functional limit theorems are presented for the rescaled occupation time fluctuation process of a critical finite variance branching particle system in R ^dwith symmetric а-stable motion starting off from either a standard Poisson random field or from the equilibrium distribution for intermediate dimensions a < d < 2a. The limit processes are determined by sub-fractional and fractional Brownian motions, respectively.

Słowa kluczowe

EN

functional central limit theorem; branching particles systems; occupation time fluctuations; fractional Brownian motion; sub-fractional Brownian motion; equilibrium distribution

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2007
• Tom: Vol. 27, Fasc. 2
• Strony: 181--203
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Miłoś P.

• Institute of Mathematics, Polish Academy of Sciences, Warsaw

Bibliografia

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