Topology Of The Random Fibonacci Tiling Space
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.
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.