Probability Theory and Related Fields

, Volume 82, Issue 4, pp 527–544

Non-commutative central limits

  • D. Goderis
  • A. Verbeure
  • P. Vets
Article

DOI: 10.1007/BF00341282

Cite this article as:
Goderis, D., Verbeure, A. & Vets, P. Probab. Th. Rel. Fields (1989) 82: 527. doi:10.1007/BF00341282

Summary

Non-commutative central limit theorems are derived. The CCR-C*-algebra of fluctuations is analyzed in detail. The stability of the central limit is studied by means of the notion of relative entropy.

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • D. Goderis
    • 1
  • A. Verbeure
    • 1
  • P. Vets
    • 1
  1. 1.Instituut voor Theoretische FysicaUniversiteit LeuvenLeuvenBelgium