A spectral cocycle for substitution systems and translation flows

Alexander I. Bufetov; Boris Solomyak

doi:10.1007/s11854-020-0127-2

A spectral cocycle for substitution systems and translation flows

Alexander I. Bufetov, Boris Solomyak

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	165-205
Number of pages	41
Journal	Journal d'Analyse Mathematique
Volume	141
Issue number	1
DOIs	https://doi.org/10.1007/s11854-020-0127-2
State	Published - Sep 2020

All Science Journal Classification (ASJC) codes

Analysis
General Mathematics

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10.1007/s11854-020-0127-2

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title = "A spectral cocycle for substitution systems and translation flows",

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.",

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AU - Solomyak, Boris

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AB - 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.

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U2 - 10.1007/s11854-020-0127-2

DO - 10.1007/s11854-020-0127-2

M3 - مقالة

SN - 0021-7670

VL - 141

SP - 165

EP - 205

JO - Journal d'Analyse Mathematique

JF - Journal d'Analyse Mathematique

IS - 1

ER -

A spectral cocycle for substitution systems and translation flows

Abstract

All Science Journal Classification (ASJC) codes

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