Fusion tilings with infinite local complexity

Details Fusion tilings with infinite local complexity Fusion tilings with infinite local complexity

2012-01-18

arxiv.org/abs/1201.3911v1

Mathematics

Dynamical Systems

28 pages, pdfLatex

Scientific paper

We extend the formalism of fusion tilings to allow for infinite local complexity. We allow an infinite variety of tile types but require that the space of possible tile types be compact. Examples include solenoids, pinwheel tilings, tilings with fault lines, and tilings with infinitely many tile sizes, shapes, or labels. We examine the invariant measures and define a new notion of complexity that applies to these tilings.

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