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 |
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Pages (from-to) | 165-205 |
Number of pages | 41 |
Journal | Journal d'Analyse Mathematique |
Volume | 141 |
Issue number | 1 |
DOIs | |
State | Published - Sep 2020 |
All Science Journal Classification (ASJC) codes
- Analysis
- General Mathematics