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La singularité mutuelle presque sûre du spectre des transformations d’Ornstein

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Abstract

It is shown that, almost surely with respect to the product measure, the maximal spectral type of Ornstein’s transformations are mutually singular so that these transformations are mutually disjoint in Furstenberg’s sense.

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Authors and Affiliations

  1. Analyse et Modèles Stochastiques, Université de Rouen UFR des sciences- CNRS UPRES-A 6085, Mathématiques, Site Colbert, F 76821, Mont Saint Aignan Cedex, France

    El Houcein & El Abdalaoui

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  1. El Houcein
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  2. El Abdalaoui
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Houcein, E., Abdalaoui, E. La singularité mutuelle presque sûre du spectre des transformations d’Ornstein. Isr. J. Math. 112, 135–155 (1999). https://doi.org/10.1007/BF02773480

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  • DOI: https://doi.org/10.1007/BF02773480

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