Title

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.

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