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Corrigendum to “Hölder regularity for the spectrum of translation flows”
[Correction à “Régularité Hölder pour le spectre des flots de translation”]
Alexander I. Bufetov1 ; Boris Solomyak2
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

Alexander I. Bufetov 1 ; Boris Solomyak 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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Corrigendum to {{\textquotedblleft}H\"older} regularity for the spectrum of translation flows{\textquotedblright}},
     journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
     pages = {1513--1514},
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Alexander I. Bufetov; Boris Solomyak. 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. https://jep.centre-mersenne.org/articles/10.5802/jep.212/

[1] A. I. Bufetov & B. Solomyak - “On the modulus of continuity for spectral measures in substitution dynamics”, Adv. Math. 260 (2014), p. 84-129 | DOI | MR | Zbl

[2] A. I. Bufetov & B. Solomyak - “The Hölder property for the spectrum of translation flows in genus two”, Israel J. Math. 223 (2018) no. 1, p. 205-259 | DOI | Zbl

[3] A. I. Bufetov & B. Solomyak - “On the modulus of continuity for spectral measures in substitution dynamics”, J. Éc. polytech. Math. 8 (2021), p. 279-310 | DOI

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