Minimal cocycles with the scaling property and substitutions

DOI10.1007/BF02761048zbMath0866.54033MaRDI QIDQ1817284

Teturo Kamae, Satoshi Takahashi, Jean Marie Dumont

Publication date: 26 June 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

continuous scaling propertyminimal cocycle with the \(\alpha\)-scaling property

Mathematics Subject Classification ID

Topological dynamics (37B99) Measure-theoretic ergodic theory (28D99)

Related Items

Self-similarity and spectral theory: on the spectrum of substitutions, Limit theorems for self-similar tilings, Limit theorems for translation flows, On the modulus of continuity for spectral measures in substitution dynamics, Coboundary on colored tiling space as Rauzy fractal, The scenery flow for geometric structures on the torus: The linear setting, Linear expansions, strictly ergodic homogeneous cocycles and fractals

Cites Work

• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• Linear expansions, strictly ergodic homogeneous cocycles and fractals
• Digital sum moments and substitutions
• A characterization of self-affine functions
• A class of deterministic self-affine processes