Good sequences with uncountable spectrum and singular asymptotic distribution
[Bonnes suites à spectre non dénombrable et distribution asymptotique singulière]
Cuny, Christophe1 ; Parreau, François2
1 Univ Brest, CNRS, UMR 6205, Laboratoire de Mathematiques de Bretagne Atlantique, 6 avenue Victor Le Gorgeu, 29238 Brest (France)
2 Université Sorbonne Paris Nord, LAGA, CNRS, UMR 7539, F-93430 Villetaneuse (France)
Annales de l'Institut Fourier, Online first, 11 p.

Nous construisons une bonne suite à spectre non dénombrable. La construction nous permet également d’exhiber une probabilité continue singulière représentable par une bonne suite au sens du travail récent de Lesigne, Quas, Rosenblatt et Wierdl.

We construct a good sequence with uncountable spectrum. The construction also allows us to exhibit a continuous and singular probability measure representable by a good sequence in the sense of the recent work of Lesigne, Quas, Rosenblatt and Wierdl.

Reçu le :
Révisé le :
Accepté le :
Première publication :
DOI : 10.5802/aif.3663
Classification : 42A55
Keywords: Good sequences, Uncountable spectrum.
Mot clés : Bonnes suites, spectre non dénombrable.
Cuny, Christophe 1 ; Parreau, François 2

1 Univ Brest, CNRS, UMR 6205, Laboratoire de Mathematiques de Bretagne Atlantique, 6 avenue Victor Le Gorgeu, 29238 Brest (France)
2 Université Sorbonne Paris Nord, LAGA, CNRS, UMR 7539, F-93430 Villetaneuse (France) 
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     title = {Good sequences with uncountable spectrum and singular asymptotic distribution},
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Cuny, Christophe; Parreau, François. Good sequences with uncountable spectrum and singular asymptotic distribution. Annales de l'Institut Fourier, Online first, 11 p.

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