| Issue |
RAIRO-Theor. Inf. Appl.
Volume 46, Number 1, January-March 2012
Special issue dedicated to the 13th "Journées Montoises d'Informatique Théorique"
|
|
|---|---|---|
| Page(s) | 107 - 122 | |
| DOI | https://doi.org/10.1051/ita/2012009 | |
| Published online | 21 February 2012 | |
Morphisms preserving the set of words coding three interval exchange∗,∗∗
Department of Mathematics FNSPE, Czech Technical University in
Prague, Trojanova
13, 120 00
Prague, Czech
Republic
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
2
November
2010
Accepted:
3
February
2012
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.
Mathematics Subject Classification: 68R15
Key words: Interval exchange / three interval exchange / amicable Sturmian morphisms / incidence matrix of morphism
We acknowledge financial support by the Czech Science Foundation grant 201/09/0584 and by the grants MSM6840770039 and LC06002 of the Ministry of Education, Youth, and Sports of the Czech Republic. We also thank the CTU student grant SGS10/085/OHK4/1T/14 and SGS11/162/OHK4/3T/14.
We would like to thank the organizers of the conference 13ièmes Journées Montoises d’Informatique Théorique for a financial support of the author’s stay at the conference.
© EDP Sciences 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.