Abstract
We begin this section with a brief discussion of entropy for a single automorphism α of a compact group X, in which we prove that every ergodic automorphism of an infinite, compact group has positive entropy, and that automorphisms with zero entropy have a very degenerate structure.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Birkhäuser Verlag
About this chapter
Cite this chapter
Schmidt, K. (1995). Positive entropy. In: Dynamical Systems of Algebraic Origin. Progress in Mathematics, vol 128. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9236-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-0348-9236-0_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9957-4
Online ISBN: 978-3-0348-9236-0
eBook Packages: Springer Book Archive