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Non-commutative central limits
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  • Published: August 1989

Non-commutative central limits

  • D. Goderis1,
  • A. Verbeure1 &
  • P. Vets1 

Probability Theory and Related Fields volume 82, pages 527–544 (1989)Cite this article

  • 229 Accesses

  • 83 Citations

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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.

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Authors and Affiliations

  1. Instituut voor Theoretische Fysica, Universiteit Leuven, B-3030, Leuven, Belgium

    D. Goderis, A. Verbeure & P. Vets

Authors
  1. D. Goderis
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  2. A. Verbeure
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  3. P. Vets
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Onderzoeker IIKW, Belgium

Onderzoeker IIKW, Belgium

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Goderis, D., Verbeure, A. & Vets, P. Non-commutative central limits. Probab. Th. Rel. Fields 82, 527–544 (1989). https://doi.org/10.1007/BF00341282

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  • Received: 03 March 1988

  • Issue Date: August 1989

  • DOI: https://doi.org/10.1007/BF00341282

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Keywords

  • Entropy
  • Stochastic Process
  • Probability Theory
  • Limit Theorem
  • Statistical Theory
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