A spectral cocycle for substitution systems and translation flows

Alexander I. Bufetov, Boris Solomyak

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

for substitution systems and translation flows, a new cocycle, which we call the spectral 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.

Original languageEnglish
Pages (from-to)165-205
Number of pages41
JournalJournal d'Analyse Mathematique
Volume141
Issue number1
DOIs
StatePublished - Sep 2020

Bibliographical note

Publisher Copyright:
© 2020, The Hebrew University of Jerusalem.

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