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Entropy and volume

Published online by Cambridge University Press:  10 December 2009

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Abstract

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An inequality is given relating the topological entropy of a smooth map to growth rates of the volumes of iterates of smooth submanifolds. Applications to the entropy of algebraic maps are given.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Volume 8: Charles Conley Memorial Issue , December 1988 , pp. 283 - 299
Copyright
Copyright © Cambridge University Press 1988

References

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