This article is cited in 17 papers

A spectral cocycle for substitution systems and translation flows

A. I. Bufetov^abc, B. M. Solomyak<sup>d

a</sup> Aix-Marseille Université
^b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
^c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
^d Bar-Ilan University, Department of Mathematics

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.

Language: English

DOI: 10.1007/s11854-020-0127-2

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