no. 3
On the Hausdorff dimension of the Rauzy gasket
[Sur la dimension de Hausdorff de la baderne de Rauzy]
Bulletin de la Société Mathématique de France, Tome 144 (2016) no. 3, pp. 539-568

In this paper, we prove that the Hausdorff dimension of the Rauzy gasket is less than 2. By this result, we answer a question addressed by Pierre Arnoux. Also, this question is a very particular case of the conjecture stated by S.P. Novikov and A. Maltsev in 2003.

Dans cet article, nous montrons que la dimension de Hausdorff de la baderne de Rauzy est strictement inférieure à 2. Ce résultat répond à une question de Pierre Arnoux. C'est aussi une réponse, dans un cas très particulier, à une conjecture posée par S.P. Novikov et A. Maltsev en 2003.

Publié le :
DOI : 10.24033/bsmf.2722
Classification : 37E05
Keywords: Systems of isometries, Rauzy induction, Hausdorff dimension
Mots-clés : Systèmes d'isométries, induction de Rauzy, dimension de Hausdorff 
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     title = {On the {Hausdorff} dimension of the {Rauzy} gasket},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
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Avila, Artur; Hubert, Pascal; Skripchenko, Alexandra. On the Hausdorff dimension of the Rauzy gasket. Bulletin de la Société Mathématique de France, Tome 144 (2016) no. 3, pp. 539-568. doi: 10.24033/bsmf.2722

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