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math.DSJul 1, 2022
authors
  • Mark Pollicott
  • Benedict Sewell
institutions
  • HUN-REN Alfréd Rényi Institute of Mathematics
  • University of Warwick
arXiv abstractPDF
paper

An elementary proof that the Rauzy gasket is fractal

arXiv:2207.05003 · doi:10.1017/etds.2023.66

Abstract

We present a purely elementary proof that the Rauzy gasket has Hausdorff dimension strictly smaller than two.

arXiv comment10 pages, 2 figures

References in corpus (2)

  • Geometry of plane sections of the infinite regular skew polyhedron {4,6|4}
  • Dynamical properties of simplicial systems and continued fraction algorithms
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