Abstract
We show that the sum of two free random variables can have a free Poisson law without any of them having a free Poisson law.
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© 2005 Springer-Verlag Berlin/Heidelberg
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Benaych-Georges, F. (2005). Failure of the Raikov Theorem for Free Random Variables. In: Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXVIII. Lecture Notes in Mathematics, vol 1857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31449-3_21
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DOI: https://doi.org/10.1007/978-3-540-31449-3_21
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23973-4
Online ISBN: 978-3-540-31449-3
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