Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Entropy for smooth abelian actions


Author: David Fried
Journal: Proc. Amer. Math. Soc. 87 (1983), 111-116
MSC: Primary 54H20; Secondary 28D20, 57S15, 58F11
MathSciNet review: 677244
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We generalize the usual notions of metric and topological entropy for flows to actions of compactly generated abelian Lie groups. Unlike previous generalizations, ours is nontrivial for smooth actions of $ {{\mathbf{R}}^n}$, $ n \geqslant 2$. We prove some elementary properties of our definitions and we relate them to characteristic exponents and the entropy conjecture.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54H20, 28D20, 57S15, 58F11

Retrieve articles in all journals with MSC: 54H20, 28D20, 57S15, 58F11


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0677244-7
PII: S 0002-9939(1983)0677244-7
Article copyright: © Copyright 1983 American Mathematical Society