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 rando...
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| Main Authors: | , |
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| Format: | text |
| Published: |
Archīum Ateneo
2013
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/19 https://arxiv.org/abs/1312.4897 |
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| Institution: | Ateneo De Manila University |
| Summary: | 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. |
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