Corrigendum to “Hölder regularity for the spectrum of translation flows”
[Correction à “Régularité Hölder pour le spectre des flots de translation”]
Bufetov, Alexander I.1 ; Solomyak, Boris2
1 Aix-Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 39 rue F. Joliot Curie, Marseille, France Steklov Mathematical Institute of RAS, Moscow, Russia Institute for Information Transmission Problems, Moscow, Russia
2 Department of Mathematics, Bar-Ilan University Ramat-Gan, Israel
Journal de l’École polytechnique — Mathématiques, Tome 9 (2022), pp. 1513-1514.
corrige Hölder regularity for the spectrum of translation flows
[Régularité Hölder pour le spectre des flots de translation]

Cet article corrige la formulation de [3, Prop. 5.4], dont la preuve est inchangée.

The paper corrects the formulation of [3, Prop. 5.4], whose proof is unchanged.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/jep.212
Classification : 37A30, 37B1, 37E35, 28A78
Keywords: Translation flows, spectral measures, matrix Riesz products, upper Lyapunov exponents, Erdős-Kahane argument, Bratteli-Vershik automorphisms, renormalization cocycle
Mot clés : Flots de translation, mesures spectrales, produits de Riesz matriciels, exposants de Liapounoff supérieurs, l’argument d’Erdős-Kahane, automorphismes de Bratteli-Vershik, cocycle de renormalisation
Bufetov, Alexander I. 1 ; Solomyak, Boris 2

1 Aix-Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 39 rue F. Joliot Curie, Marseille, France Steklov Mathematical Institute of RAS, Moscow, Russia Institute for Information Transmission Problems, Moscow, Russia
2 Department of Mathematics, Bar-Ilan University Ramat-Gan, Israel 
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     title = {Corrigendum to {{\textquotedblleft}H\"older} regularity for the spectrum of translation flows{\textquotedblright}},
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Bufetov, Alexander I.; Solomyak, Boris. Corrigendum to “Hölder regularity for the spectrum of translation flows”. Journal de l’École polytechnique — Mathématiques, Tome 9 (2022), pp. 1513-1514. doi : 10.5802/jep.212. http://www.numdam.org/articles/10.5802/jep.212/

[1] Bufetov, Alexander I.; Solomyak, Boris On the modulus of continuity for spectral measures in substitution dynamics, Adv. Math., Volume 260 (2014), pp. 84-129 | DOI | MR | Zbl

[2] Bufetov, Alexander I.; Solomyak, Boris The Hölder property for the spectrum of translation flows in genus two, Israel J. Math., Volume 223 (2018) no. 1, pp. 205-259 | DOI | Zbl

[3] Bufetov, Alexander I.; Solomyak, Boris On the modulus of continuity for spectral measures in substitution dynamics, J. Éc. polytech. Math., Volume 8 (2021), pp. 279-310 | DOI

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