Topology Of The Random Fibonacci Tiling Space

Authors

Franz Gahler
Eden Delight Miro, Ateneo de Manila UniversityFollow

Document Type

Article

Publication Date

2013

Abstract

We look at the topology of the tiling space of locally random Fibonacci substitution, which is defined as a 7→ ba with probability p, a 7→ ab with probability 1 − p and b 7→ a for 0 < p < 1. We show that its Cech cohomology ˇ group is not finitely generated, in contrast to the case where random substitutions are applied globally.

Recommended Citation

F. Gahler and Eden Miro. (2014/08). Topology of the Random Fibonacci Tiling Space. Proceedings of the 12th International Conference on Quasicrystals (ICQ12), 126(2), 564-567.