Entropy and volume
- 10 December 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 8 (8) , 283-299
- https://doi.org/10.1017/s0143385700009469
Abstract
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.Keywords
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