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  1. 2 Acta Physica Polonica A

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  1. 2 2014

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  1. 2 Gähler F.

  2. 1 Bugarin E.

  3. 1 Miro E.

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Topology of the Random Fibonacci Tiling Space

100%
Gähler F., Miro E.
Acta Physica Polonica A
|
2014
|
vol. 126
|
issue 2
564-567
EN
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
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Quotient Cohomology of Certain 1- and 2-Dimensional Substitution Tiling Spaces

100%
Bugarin E., Gähler F.
Acta Physica Polonica A
|
2014
|
vol. 126
|
issue 2
438-441
EN
The quotient cohomology of tiling spaces is a topological invariant that relates a tiling space to one of its factors, viewed as topological dynamical systems. In particular, it is a relative version of the tiling cohomology that distinguishes factors of tiling spaces. In this work, the quotient cohomologies within certain families of substitution tiling spaces in 1 and 2 dimensions are determined. Specifically, the quotient cohomologies for the family of the generalised Thue-Morse sequences and generalised chair tilings are presented.
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