Geodesic laminations as geometric realizations of Pisot substitutions

Authors
Sirvent, VF
Citation
Vf. Sirvent, Geodesic laminations as geometric realizations of Pisot substitutions, ERGOD TH DY, 20, 2000, pp. 1253-1266
Citations number
22
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
4
Pages
1253 - 1266
Database
ISI
SICI code
0143-3857(200008)20:<1253:GLAGRO>2.0.ZU;2-D
Abstract
We construct a geodesic lamination on the hyperbolic disk and a dynamical s ystem defined on this lamination. We prove that this dynamical system is a geometrical realization of the symbolic dynamical system that arises from t he following Pisot substitution: 1 --> 12,...,(n - 1) --> 1n, n --> 1.