Topology Of The Random Fibonacci Tiling Space
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
Gahler, Franz and Miro, Eden Delight, (2013). Topology Of The Random Fibonacci Tiling Space. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/19