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Séminaire de Probabilités XLIV pp 207–213Cite as

Another Failure in the Analogy Between Gaussian and Semicircle Laws

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Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 2046))

Abstract

We establish a new characterization of the Gaussian law that is not transferable to the non commutative probability spaces.

AMS 2000 Classification: 60J25, 60J55, 60G15, 60E07

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Acknowledgements

We thank the referee for improvements on the original version.

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Authors and Affiliations

  1. CNRS: UMR7599, Université Paris 6, 4 Place Jussieu, 75252, cedex Paris 05, France

    Nathalie Eisenbaum

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  1. Nathalie Eisenbaum
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Correspondence to Nathalie Eisenbaum .

Editor information

Editors and Affiliations

  1. , Laboratoire de Mathématiques, Université de Versailles-St-Quentin, avenue des États-Unis 45, Versailles, 78035, France

    Catherine Donati-Martin

  2. IECN, Campus scientifique, BP 239, Nancy-Université, INRIA, Vandoeuvre-lès-Nancy, 54506, France

    Antoine Lejay

  3. Laboratoire de Mathématiques, Université de Versailles-St-Quentin, avenue des Etats-Unis 45, Versailles, 78035, France

    Alain Rouault

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Eisenbaum, N. (2012). Another Failure in the Analogy Between Gaussian and Semicircle Laws. In: Donati-Martin, C., Lejay, A., Rouault, A. (eds) Séminaire de Probabilités XLIV. Lecture Notes in Mathematics(), vol 2046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27461-9_10

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