A spectral cocycle for substitution systems and translation flows - Archive ouverte HAL Access content directly
Journal Articles Journal d'analyse mathématique Year : 2020

A spectral cocycle for substitution systems and translation flows

Abstract

For substitution systems and translation flows, a new cocycle is introduced whose Lyapunov exponents govern the local dimension of the spectral measure for higher-level cylindrical functions. The construction relies on the symbolic representation of translation flows and the formalism of matrix Riesz products.
Fichier principal
Vignette du fichier
1802.04783 (1).pdf (423.03 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02110664 , version 1 (06-01-2021)

Identifiers

Cite

Alexander I. Bufetov, Boris Solomyak. A spectral cocycle for substitution systems and translation flows. Journal d'analyse mathématique, 2020, 141 (1), pp.165-205. ⟨10.1007/s11854-020-0127-2⟩. ⟨hal-02110664⟩
80 View
72 Download

Altmetric

Share

Gmail Facebook X LinkedIn More