Hostname: page-component-77c89778f8-m8s7h Total loading time: 0 Render date: 2024-07-18T22:00:42.569Z Has data issue: false hasContentIssue false

Marker automorphisms of the one-sided d-shift

Published online by Cambridge University Press:  19 September 2008

Jonathan Ashley
Affiliation:
Department of Mathematical Sciences, IBM Thomas J. Watson Research Center, PO Box 218, Yorktown Heights, NY 10598, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We identify a set of generators for the automorphism group of the one-sided d-shift. For the 3-shift, this set of generators has an application to the dynamics of cubic polynomials.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

References

REFERENCES

[BDK]Blanchard, P., Devaney, R. & Keen, L.. The dynamics of complex polynomials and automorphisms of the shift. Preprint, 1989.Google Scholar
[BFK]Boyle, M., Franks, J. & Kitchens, B.. Automorphisms of one-sided subshifts of finite type. Preprint.Google Scholar
[B]Blanchard, P.. Complex analytic dynamics on the Riemann sphere. Bull. Amer. Math. Soc. 11 (1984), 85141.CrossRefGoogle Scholar
[BH]Branner, B. & Hubbard, J.. The iteration of cubic polynomials. Preprint.Google Scholar
[N]Nasu, M.. Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov chains. Proceedings of the special year in Ergod. Th. & Dynam. Sys. at the University of Maryland. To appear. Springer-Verlag.Google Scholar