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arXiv · 1312.4897

Topology of the Random Fibonacci Tiling Space

Franz Gähler·Eden Provido
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Abstract

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

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Franz Gähler, Eden Provido. 2013-12-17. Topology of the Random Fibonacci Tiling Space. https://doi.org/10.12693/aphyspola.126.564

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