Vanishing transverse entropy in smooth ergodic theory
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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| Veröffentlicht in: | Ergodic theory and dynamical systems 2011-08, Vol.31 (4), p.1229-1235 |
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| container_end_page | 1235 |
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| container_issue | 4 |
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| container_title | Ergodic theory and dynamical systems |
| container_volume | 31 |
| creator | LEDRAPPIER, FRANÇOIS XIE, JIAN-SHENG |
| description | 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. |
| doi_str_mv | 10.1017/S0143385710000416 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0143-3857 |
| ispartof | Ergodic theory and dynamical systems, 2011-08, Vol.31 (4), p.1229-1235 |
| issn | 0143-3857 1469-4417 |
| language | eng |
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| source | Cambridge Journals Online |
| subjects | Dynamical systems Entropy Entropy of transformation Ergodic processes Exponents Mathematics Probability Transformations |
| title | Vanishing transverse entropy in smooth ergodic theory |
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