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Ergodic Theory and Dynamical Systems
Article . 1993 . Peer-reviewed
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Some ergodic properties of commuting diffeomorphisms

Authors: Huyi Hu;

Some ergodic properties of commuting diffeomorphisms

Abstract

AbstractFor a smooth ℤ2-action on a C∞ compact Riemannian manifold M, we discuss its ergodic properties which include the decomposition of the tangent space of M into subspaces related to Lyapunov exponents, the existence of Lyapunov charts, and the subadditivity of entropies.

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Keywords

Riemannian manifold, commuting diffeomorphisms, Lyapunov exponents, subadditivity, Ergodic theory, ergodic properties, entropy, Lyapunov charts

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
33
Top 10%
Top 10%
Average
bronze