Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?

Is every irreducible shift of finite type flow equivalent to a renewal system? For the first time, this variation of a classic problem formulated by Adler is investigated, and several partial results are obtained in an attempt to find the range of the Bowen--Franks invariant over the set of renewal...

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Bibliographic Details
Main Author: Johansen, Rune
Format: Report
Language:unknown
Published: arXiv 2013
Subjects:
Dynamical Systems math.DS
FOS Mathematics
37B10
Faroe Islands
Online Access:https://dx.doi.org/10.48550/arxiv.1304.0888
https://arxiv.org/abs/1304.0888
id ftdatacite:10.48550/arxiv.1304.0888
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spelling ftdatacite:10.48550/arxiv.1304.0888 2023-05-15T16:10:44+02:00 Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System? Johansen, Rune 2013 https://dx.doi.org/10.48550/arxiv.1304.0888 https://arxiv.org/abs/1304.0888 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Dynamical Systems math.DS FOS Mathematics 37B10 Preprint Article article CreativeWork 2013 ftdatacite https://doi.org/10.48550/arxiv.1304.0888 2022-04-01T13:23:02Z Is every irreducible shift of finite type flow equivalent to a renewal system? For the first time, this variation of a classic problem formulated by Adler is investigated, and several partial results are obtained in an attempt to find the range of the Bowen--Franks invariant over the set of renewal systems of finite type. In particular, it is shown that the Bowen--Franks group is cyclic for every member of a class of renewal systems known to attain all entropies realised by shifts of finite type, and several classes of renewal systems with non--trivial values of the invariant are constructed. : 22 pages, 5 figures. For the conference proceedings of Operator Algebra and Dynamics, NordForsk Network Closing Conference, 15-20 May 2012, Gj\'aargar{\eth}ur, Faroe Islands Report Faroe Islands DataCite Metadata Store (German National Library of Science and Technology) Faroe Islands
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Dynamical Systems math.DS
FOS Mathematics
37B10
spellingShingle Dynamical Systems math.DS
FOS Mathematics
37B10
Johansen, Rune
Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?
topic_facet Dynamical Systems math.DS
FOS Mathematics
37B10
description Is every irreducible shift of finite type flow equivalent to a renewal system? For the first time, this variation of a classic problem formulated by Adler is investigated, and several partial results are obtained in an attempt to find the range of the Bowen--Franks invariant over the set of renewal systems of finite type. In particular, it is shown that the Bowen--Franks group is cyclic for every member of a class of renewal systems known to attain all entropies realised by shifts of finite type, and several classes of renewal systems with non--trivial values of the invariant are constructed. : 22 pages, 5 figures. For the conference proceedings of Operator Algebra and Dynamics, NordForsk Network Closing Conference, 15-20 May 2012, Gj\'aargar{\eth}ur, Faroe Islands
format Report
author Johansen, Rune
author_facet Johansen, Rune
author_sort Johansen, Rune
title Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?
title_short Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?
title_full Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?
title_fullStr Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?
title_full_unstemmed Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?
title_sort is every irreducible shift of finite type flow equivalent to a renewal system?
publisher arXiv
publishDate 2013
url https://dx.doi.org/10.48550/arxiv.1304.0888
https://arxiv.org/abs/1304.0888
geographic Faroe Islands
geographic_facet Faroe Islands
genre Faroe Islands
genre_facet Faroe Islands
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1304.0888
_version_ 1765995891826622464

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