Morphisms preserving the set of words coding three interval exchange

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

2011-11-07

arxiv.org/abs/1111.1578v2

RAIRO-Theor. Inf. Appl. 46 (2012) 107-122

Mathematics

Combinatorics

16 pages

Scientific paper

10.1051/ita/2012009

Any amicable pair \phi, \psi{} of Sturmian morphisms enables a construction
of a ternary morphism \eta{} which preserves the set of infinite words coding
3-interval exchange. We determine the number of amicable pairs with the same
incidence matrix in $SL^\pm(2,N)$ and we study incidence matrices associated
with the corresponding ternary morphisms \eta.

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