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Entropy, transverse entropy and partitions of unity

Published online by Cambridge University Press:  19 September 2008

Rémi Langevin  and
Pawel G. Walczak
Rémi Langevin
Affiliation:
Université de Bourgogne, Laboratoire de Topologie, BP 138, 21004 Dijon, France
Pawel G. Walczak
Affiliation:
Uniwersytet Lódzki, Instytut Matematyki, ul. Banacha 22, 90–238 Lódź, Poland
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Abstract

The topological entropy of a transformation is expressed in terms of partitions of unity. The transverse entropy of a flow tangential to a foliation is defined and expresed in a similar way. The geometric entropy of a foliation of a Riemannian manifold is compared with the transverse entropy of its geodesic flow.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 3 , September 1994 , pp. 551 - 563
Copyright
Copyright © Cambridge University Press 1994

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References

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