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:	Gahler, Franz, Miro, Eden Delight
Format:	text
Published:	Archīum Ateneo 2013
Subjects:	Mathematics
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

id	ph-ateneo-arc.mathematics-faculty-pubs-1018
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-10182020-02-28T01:21:10Z Topology Of The Random Fibonacci Tiling Space Gahler, Franz Miro, Eden Delight 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. 2013-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/19 https://arxiv.org/abs/1312.4897 Mathematics Faculty Publications Archīum Ateneo Mathematics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
continent	Asia
country	Philippines Philippines
content_provider	Ateneo De Manila University Library
collection	archium.Ateneo Institutional Repository
topic	Mathematics
spellingShingle	Mathematics Gahler, Franz Miro, Eden Delight Topology Of The Random Fibonacci Tiling Space
description	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.
format	text
author	Gahler, Franz Miro, Eden Delight
author_facet	Gahler, Franz Miro, Eden Delight
author_sort	Gahler, Franz
title	Topology Of The Random Fibonacci Tiling Space
title_short	Topology Of The Random Fibonacci Tiling Space
title_full	Topology Of The Random Fibonacci Tiling Space
title_fullStr	Topology Of The Random Fibonacci Tiling Space
title_full_unstemmed	Topology Of The Random Fibonacci Tiling Space
title_sort	topology of the random fibonacci tiling space
publisher	Archīum Ateneo
publishDate	2013
url	https://archium.ateneo.edu/mathematics-faculty-pubs/19 https://arxiv.org/abs/1312.4897
_version_	1724079162720780288

Topology Of The Random Fibonacci Tiling Space

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