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Vanishing transverse entropy in smooth ergodic theory
Published online by Cambridge University Press: 27 September 2010
Abstract
For a measure-preserving transformation, the entropy being zero means that there is no increasing σ-algebra. In this note, we prove that a similar phenomenon occurs for C2 diffeomorphisms when considering the increment between the partial entropies associated with different exponents.
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- Copyright © Cambridge University Press 2010
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