Flow equivalence and isotopy for subshifts
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
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
APA
Vancouver
Author
Bibtex
}
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