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

Rune Johansen

doi:10.1007/978-3-642-39459-1_9

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

Institut for Matematiske Fag

Abstract

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.

Originalsprog	Engelsk
Titel	Operator Algebra and Dynamics : Nordforsk Network Closing Conference, Faroe Islands, May 2012
Redaktører	Toke M. Clausen, Søren Eilers, Gunnar Restorff, Sergei Silvestrov
Forlag	Springer
Publikationsdato	2013
Sider	187-209
ISBN (Trykt)	9783642394584
ISBN (Elektronisk)	9783642394591
DOI	https://doi.org/10.1007/978-3-642-39459-1_9
Status	Udgivet - 2013

Navn	Springer Proceedings in Mathematics & Statistics
Vol/bind	58

Adgang til dokumentet

10.1007/978-3-642-39459-1_9

http://link.springer.com/book/10.1007%2F978-3-642-39459-1

Citationsformater

Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System? / Johansen, Rune.
Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. red. / Toke M. Clausen; Søren Eilers; Gunnar Restorff; Sergei Silvestrov. Springer, 2013. s. 187-209 (Springer Proceedings in Mathematics & Statistics , Bind 58).

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

Johansen, R 2013, Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System? i TM Clausen, S Eilers, G Restorff & S Silvestrov (red), Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. Springer, Springer Proceedings in Mathematics & Statistics , bind 58, s. 187-209. https://doi.org/10.1007/978-3-642-39459-1_9

@inproceedings{f4e0b4fba9eb46dba7330b6fbab65dcd,

title = "Is Every Irreducible Shift of Finite Type Flow Equivalent to a Renewal System?",

abstract = "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.",

author = "Rune Johansen",

year = "2013",

doi = "10.1007/978-3-642-39459-1_9",

language = "English",

isbn = "9783642394584",

series = "Springer Proceedings in Mathematics & Statistics ",

pages = "187--209",

editor = "Clausen, {Toke M.} and Eilers, {S{\o}ren } and Restorff, {Gunnar } and Silvestrov, {Sergei }",