On some new invariants for strong shift equivalence for shifts of finite type

Research output: Contribution to journalJournal articlepeer-review

Standard

On some new invariants for strong shift equivalence for shifts of finite type. / Eilers, Søren; Kiming, Ian.

In: Journal of Number Theory, Vol. 132, 2012, p. 502-510.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Eilers, S & Kiming, I 2012, 'On some new invariants for strong shift equivalence for shifts of finite type', Journal of Number Theory, vol. 132, pp. 502-510. https://doi.org/10.1016/j.jnt.2011.08.003

APA

Eilers, S., & Kiming, I. (2012). On some new invariants for strong shift equivalence for shifts of finite type. Journal of Number Theory, 132, 502-510. https://doi.org/10.1016/j.jnt.2011.08.003

Vancouver

Eilers S, Kiming I. On some new invariants for strong shift equivalence for shifts of finite type. Journal of Number Theory. 2012;132:502-510. https://doi.org/10.1016/j.jnt.2011.08.003

Author

Eilers, Søren ; Kiming, Ian. / On some new invariants for strong shift equivalence for shifts of finite type. In: Journal of Number Theory. 2012 ; Vol. 132. pp. 502-510.

Bibtex

@article{390ceb10e03511deba73000ea68e967b,
title = "On some new invariants for strong shift equivalence for shifts of finite type",
abstract = "We introduce a new computable invariant for strong shift equivalence of shifts of finite type. The invariant is based on an invariant introduced by Trow, Boyle, and Marcus, but has the advantage of being readily computable. We summarize briefly a large-scale numerical experiment aimed at deciding strong shift equivalence for shifts of finite type given by irreducible $2\times 2$-matrices with entry sum less than 25, and give examples illustrating to power of the new invariant, i.e., examples where the new invariant can disprove strong shift equivalence whereas the other invariants that we use can not.",
author = "S{\o}ren Eilers and Ian Kiming",
note = "Keywords: math.DS; math.NT",
year = "2012",
doi = "10.1016/j.jnt.2011.08.003",
language = "English",
volume = "132",
pages = "502--510",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - On some new invariants for strong shift equivalence for shifts of finite type

AU - Eilers, Søren

AU - Kiming, Ian

N1 - Keywords: math.DS; math.NT

PY - 2012

Y1 - 2012

N2 - We introduce a new computable invariant for strong shift equivalence of shifts of finite type. The invariant is based on an invariant introduced by Trow, Boyle, and Marcus, but has the advantage of being readily computable. We summarize briefly a large-scale numerical experiment aimed at deciding strong shift equivalence for shifts of finite type given by irreducible $2\times 2$-matrices with entry sum less than 25, and give examples illustrating to power of the new invariant, i.e., examples where the new invariant can disprove strong shift equivalence whereas the other invariants that we use can not.

AB - We introduce a new computable invariant for strong shift equivalence of shifts of finite type. The invariant is based on an invariant introduced by Trow, Boyle, and Marcus, but has the advantage of being readily computable. We summarize briefly a large-scale numerical experiment aimed at deciding strong shift equivalence for shifts of finite type given by irreducible $2\times 2$-matrices with entry sum less than 25, and give examples illustrating to power of the new invariant, i.e., examples where the new invariant can disprove strong shift equivalence whereas the other invariants that we use can not.

U2 - 10.1016/j.jnt.2011.08.003

DO - 10.1016/j.jnt.2011.08.003

M3 - Journal article

VL - 132

SP - 502

EP - 510

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

ER -

ID: 36027601