What Is … a Rauzy Fractal?

Introducing Rauzy fractals with Pierre Arnoux.

2014-01-01

Authors: Pierre Arnoux, Edmund Harriss
Published in: Notices of the American Mathematical Society, 2014
Links: DOI

BibTeX

@article{rauzy-fractal,
  title   = {What Is … a Rauzy Fractal?},
  author  = {Pierre Arnoux and Edmund Harriss},
  journal = {Notices of the American Mathematical Society},
  year    = {2014},
  volume  = {61},
  number  = {7},
  pages   = {768--770},
  doi     = {10.1090/noti1144},
}

A ‘What Is…?’ column in the Notices AMS introducing Rauzy fractals, compact sets with fractal boundaries that arise from substitution dynamical systems and serve simultaneously as quasicrystal windows and symbolic shift systems. Written with Pierre Arnoux, it builds from the Fibonacci word to the general case, connecting substitution dynamics, cut-and-project geometry, and number theory.

The image shown here was also the cover image for that issue of Notices.