Document
Services
BibSonomy
CiteUlike
Connotea
Del.icio.us
Digg
Facebook
|
||||||||||||||||||
RAIRO-Theor. Inf. Appl. 43, 41-68 (2009)
DOI: 10.1051/ita:2007042
On Critical exponents in fixed points of k-uniform binary morphisms
Dalia KriegerSchool of Computer Science, University of Waterloo, Waterloo, ON N2L 3G1, Canada; d2kriege@cs.uwaterloo.ca
Received November 2nd, 2006. Accepted October 23, 2007 Published online 20 December 2007
Abstract
Let
w be an infinite fixed point of a binary k-uniform morphism f, and let
E(w) be
the critical exponent of
w. We give necessary and sufficient conditions for
E(w) to be
bounded, and an explicit formula to compute it when it is. In particular, we show that
E(w)
is always rational. We also sketch an extension of our method to non-uniform morphisms over general
alphabets.
Mathematics Subject Classification. 68R15
Key words: Critical exponent -- binary k-uniform morphism.
© EDP Sciences 2007
| What is OpenURL? |
The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
- If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
- You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
- You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.