A ug 2 00 9 Transverse Laplacians for Substitution Tilings ∗

@inproceedings{Julien2009AU2,
  title={A ug 2 00 9 Transverse Laplacians for Substitution Tilings ∗},
  author={Antoine Julien and Jean Savinien},
  year={2009}
}
Pearson and Bellissard recently built a spectral triple — the data of Riemanian noncommutative geometry — for ultrametric Cantor sets. They derived a family of Laplace–Beltrami like operators on those sets. Motivated by the applications to specific examples, we revisit their work for the transversals of tiling spaces, which are particular self-similar… CONTINUE READING