A mixed quantum-classical central limit theorem

• Autorzy: U. Franz
• Języki publikacji: EN

Abstrakty

EN

A randomized q-central or q-commutative limit theorem on a family of bialgebras with one complex parameter is shown.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 43
• Numer: 1
• Strony: 183-189

Daty

wydano

1998

Twórcy

autor

U. Franz

• Institut Elie Cartan and LORIA, Université Henri Poincaré-Nancy 1, B.P. 239, F-54506 Vandœuvre-lès-Nancy, France

Bibliografia

• [BKS96] M. Bożejko, B. Kümmerer and R. Speicher, q-Gaussian processes: Non-commutative and classical aspects, Commun. Math. Phys. 185 (1997), 129-154.
• [BS91] M. Bożejko and R. Speicher, An example of a generalized Brownian motion, Commun. Math. Phys. 137 (1991), 519-531.
• [Fra97a] U. Franz, Contribution à l'étude des processus stochastiques sur les groupes quantiques, Ph.D. Thesis, Université H. Poincaré-Nancy 1, 1997.
• [Fra97b] U. Franz, Classical versions of quantum Lévy processes, in preparation.
• [Sch91] M. Schürmann, Quantum q-white noise and a q-central limit theorem, Commun. Math. Phys. 140 (1991), 589-615.
• [Sch93] M. Schürmann, White Noise on Bialgebras, Berlin, Springer-Verlag, 1993, Lecture Notes in Mathematics, volume 1544.
• [Spe92] R. Speicher, A non-commutative central limit theorem, Math. Z. 209 (1992), 55-66.