Morphisms preserving the set of words coding three interval exchange∗∗∗

Tomáš Hejda

RAIRO - Theoretical Informatics and Applications (2012)

  • Volume: 46, Issue: 1, page 107-122
  • ISSN: 0988-3754

Abstract

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Any amicable pair ϕ, ψ of Sturmian morphisms enables a construction of a ternary morphism η which preserves the set of infinite words coding 3-interval exchange. We determine the number of amicable pairs with the same incidence matrix in SL±(2,ℕ) and we study incidence matrices associated with the corresponding ternary morphisms η.

How to cite

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Hejda, Tomáš. "Morphisms preserving the set of words coding three interval exchange∗∗∗." RAIRO - Theoretical Informatics and Applications 46.1 (2012): 107-122. <http://eudml.org/doc/221983>.

@article{Hejda2012,
abstract = {Any amicable pair ϕ, ψ of Sturmian morphisms enables a construction of a ternary morphism η which preserves the set of infinite words coding 3-interval exchange. We determine the number of amicable pairs with the same incidence matrix in SL±(2,ℕ) and we study incidence matrices associated with the corresponding ternary morphisms η.},
author = {Hejda, Tomáš},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Interval exchange; three interval exchange; amicable Sturmian morphisms; incidence matrix of morphism; interval exchange},
language = {eng},
month = {3},
number = {1},
pages = {107-122},
publisher = {EDP Sciences},
title = {Morphisms preserving the set of words coding three interval exchange∗∗∗},
url = {http://eudml.org/doc/221983},
volume = {46},
year = {2012},
}

TY - JOUR
AU - Hejda, Tomáš
TI - Morphisms preserving the set of words coding three interval exchange∗∗∗
JO - RAIRO - Theoretical Informatics and Applications
DA - 2012/3//
PB - EDP Sciences
VL - 46
IS - 1
SP - 107
EP - 122
AB - Any amicable pair ϕ, ψ of Sturmian morphisms enables a construction of a ternary morphism η which preserves the set of infinite words coding 3-interval exchange. We determine the number of amicable pairs with the same incidence matrix in SL±(2,ℕ) and we study incidence matrices associated with the corresponding ternary morphisms η.
LA - eng
KW - Interval exchange; three interval exchange; amicable Sturmian morphisms; incidence matrix of morphism; interval exchange
UR - http://eudml.org/doc/221983
ER -

References

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