SUBSTITUTION DYNAMICAL-SYSTEMS - ALGEBRAIC CHARACTERIZATION OF EIGENVALUES

Authors
FERENCZI S MAUDUIT C NOGUEIRA A
Citation
S. Ferenczi et al., SUBSTITUTION DYNAMICAL-SYSTEMS - ALGEBRAIC CHARACTERIZATION OF EIGENVALUES, Annales Scientifiques de l'Ecole Normale Superieure, 29(4), 1996, pp. 519-533
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annales Scientifiques de l'Ecole Normale Superieure → ACNP
ISSN journal
00129593
Volume
29
Issue
4
Year of publication
1996
Pages
519 - 533
Database
ISI
SICI code
0012-9593(1996)29:4<519:SD-ACO>2.0.ZU;2-L
Abstract
We give a necessary and sufficient condition allowing to compute expli citly the eigenvalues of the dynamical system associated to any primit ive substitution; this yields a simple criterion to determine wether a substitution is weakly mixing; we apply these results to examples whe re the matrix has two expanding and two contracting eigenvalues.