Flow equivalence and isotopy for subshifts

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Flow equivalence and isotopy for subshifts. / Boyle, Mike; Carlsen, Toke Meier; Eilers, Søren.

I: Dynamical Systems, Bind 32, Nr. 3, 2017, s. 305-325.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Boyle, M, Carlsen, TM & Eilers, S 2017, 'Flow equivalence and isotopy for subshifts', Dynamical Systems, bind 32, nr. 3, s. 305-325. https://doi.org/10.1080/14689367.2016.1207753

APA

Boyle, M., Carlsen, T. M., & Eilers, S. (2017). Flow equivalence and isotopy for subshifts. Dynamical Systems, 32(3), 305-325. https://doi.org/10.1080/14689367.2016.1207753

Vancouver

Boyle M, Carlsen TM, Eilers S. Flow equivalence and isotopy for subshifts. Dynamical Systems. 2017;32(3):305-325. https://doi.org/10.1080/14689367.2016.1207753

Author

Boyle, Mike ; Carlsen, Toke Meier ; Eilers, Søren. / Flow equivalence and isotopy for subshifts. I: Dynamical Systems. 2017 ; Bind 32, Nr. 3. s. 305-325.

Bibtex

@article{cb81c5e01c8f410b970eea3a2eebe007,
title = "Flow equivalence and isotopy for subshifts",
abstract = "We study basic properties of flow equivalence on one-dimensionalcompact metric spaces with a particular emphasis on isotopy in thegroup of (self-) flow equivalences on such a space. In particular, weshow that such an orbit-preserving map is not always an isotopy,but that this always is the case for suspension flows of irreducibleshifts of finite type. We also provide a version of the fundamentaldiscretization result of Parry and Sullivan which does not require thatthe flow maps are either injective or surjective. Our work is motivatedby applications in the classification theory of sofic shift spaces, buthas been formulated to supply a solid and accessible foundation forother purposes.",
author = "Mike Boyle and Carlsen, {Toke Meier} and S{\o}ren Eilers",
year = "2017",
doi = "10.1080/14689367.2016.1207753",
language = "English",
volume = "32",
pages = "305--325",
journal = "Dynamical Systems",
issn = "1468-9367",
publisher = "Taylor & Francis",
number = "3",

}

RIS

TY - JOUR

T1 - Flow equivalence and isotopy for subshifts

AU - Boyle, Mike

AU - Carlsen, Toke Meier

AU - Eilers, Søren

PY - 2017

Y1 - 2017

N2 - We study basic properties of flow equivalence on one-dimensionalcompact metric spaces with a particular emphasis on isotopy in thegroup of (self-) flow equivalences on such a space. In particular, weshow that such an orbit-preserving map is not always an isotopy,but that this always is the case for suspension flows of irreducibleshifts of finite type. We also provide a version of the fundamentaldiscretization result of Parry and Sullivan which does not require thatthe flow maps are either injective or surjective. Our work is motivatedby applications in the classification theory of sofic shift spaces, buthas been formulated to supply a solid and accessible foundation forother purposes.

AB - We study basic properties of flow equivalence on one-dimensionalcompact metric spaces with a particular emphasis on isotopy in thegroup of (self-) flow equivalences on such a space. In particular, weshow that such an orbit-preserving map is not always an isotopy,but that this always is the case for suspension flows of irreducibleshifts of finite type. We also provide a version of the fundamentaldiscretization result of Parry and Sullivan which does not require thatthe flow maps are either injective or surjective. Our work is motivatedby applications in the classification theory of sofic shift spaces, buthas been formulated to supply a solid and accessible foundation forother purposes.

U2 - 10.1080/14689367.2016.1207753

DO - 10.1080/14689367.2016.1207753

M3 - Journal article

VL - 32

SP - 305

EP - 325

JO - Dynamical Systems

JF - Dynamical Systems

SN - 1468-9367

IS - 3

ER -

ID: 179122823