Linear expansions, strictly ergodic homogeneous cocycles and fractals

DOI10.1007/BF02773474zbMath0914.28014MaRDI QIDQ1269776

Teturo Kamae

Publication date: 6 June 1999

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

zbMATH Keywords

fractal functionscontinuous scalingsstrictly ergodic cocycles

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Fractals (28A80)

Related Items

Limit theorems for self-similar tilings, Limit theorems for translation flows, Coboundary on colored tiling space as Rauzy fractal, Stochastic analysis based on deterministic Brownian motion, Minimal cocycles with the scaling property and substitutions, Prefix-suffix automaton associated with a primitive substitution, Numeration systems, fractals and stochastic processes

Cites Work

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• Stieltjes integration and stochastic calculus with respect to self-affine functions
• Minimal cocycles with the scaling property and substitutions
• A class of deterministic self-affine processes