Independence arising from interacting Fock spaces and related central limit theorem

• Autorzy: Ben Ghorbal A. , Crismale V.
• Języki publikacji: EN

Abstrakty

EN

We present the notion of projective independence, which abstracts, in an algebraic setting, the factorization rule for the vacuum expectation of creation-annihilations-preservation operators in interacting Fock spaces described in [3]. Furthermore, we give a central limit theorem based on such a notion and a Fock representation of the limit process.

Słowa kluczowe

EN

interacting Fock spaces; central limit theorems; GNS representation

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2009
• Tom: Vol. 29, Fasc. 2
• Strony: 251--269
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Ben Ghorbal A.

• Department of Mathematics, Faculty of Sciences, Al-Imam Muhammad Ibn Saud Islamic University, P. O. Box 90050, 11623 Riyadh, Kingdom of Saudi Arabia

autor

Crismale V.

• Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona, 4-70125 Bari, Italy

Bibliografia

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