# A graph approach to computing nondeterminacy in substitutional dynamical systems

RAIRO - Theoretical Informatics and Applications (2007)

- Volume: 41, Issue: 3, page 285-306
- ISSN: 0988-3754

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topCarlsen, Toke M., and Eilers, Søren. "A graph approach to computing nondeterminacy in substitutional dynamical systems ." RAIRO - Theoretical Informatics and Applications 41.3 (2007): 285-306. <http://eudml.org/doc/250063>.

@article{Carlsen2007,

abstract = {
We present an algorithm which for any aperiodic and primitive
substitution outputs a finite representation of
each special word in the shift space associated to that substitution, and determines when such
representations are equivalent under orbit and shift tail equivalence. The
algorithm has been implemented and applied in the study of certain
new invariants for flow equivalence of substitutional dynamical systems.
},

author = {Carlsen, Toke M., Eilers, Søren},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Sustitution; shift spaces; special elements; orbit equivalence; shift tail equivalence; sustitution},

language = {eng},

month = {9},

number = {3},

pages = {285-306},

publisher = {EDP Sciences},

title = {A graph approach to computing nondeterminacy in substitutional dynamical systems },

url = {http://eudml.org/doc/250063},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Carlsen, Toke M.

AU - Eilers, Søren

TI - A graph approach to computing nondeterminacy in substitutional dynamical systems

JO - RAIRO - Theoretical Informatics and Applications

DA - 2007/9//

PB - EDP Sciences

VL - 41

IS - 3

SP - 285

EP - 306

AB -
We present an algorithm which for any aperiodic and primitive
substitution outputs a finite representation of
each special word in the shift space associated to that substitution, and determines when such
representations are equivalent under orbit and shift tail equivalence. The
algorithm has been implemented and applied in the study of certain
new invariants for flow equivalence of substitutional dynamical systems.

LA - eng

KW - Sustitution; shift spaces; special elements; orbit equivalence; shift tail equivalence; sustitution

UR - http://eudml.org/doc/250063

ER -

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