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A Spectral Cocycle for Substitution Systems and Translation Flows by Bufetov, Alexander I.; Solomyak, Boris is a scholarly article available to read on EtoBox.

What is A Spectral Cocycle for Substitution Systems and Translation Flows about?

For substitution systems and translation flows, a new cocycle, which we call {\em 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.

Author

Bufetov, Alexander I.; Solomyak, Boris

Published

2018

Language

EN