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CropBox PageLayout: SinglePage PageMode: UseNone Language: en Outlines: Item: Title: 1 Introduction Destination: section.7.0.1 Item: Title: 2 Patterns and canonical models Destination: section.8.0.2 Item: Title: 3 Block structures, skeletons and π-reducibility Destination: section.9.0.3 Item: Title: 4 A mechanism to compare entropies Destination: section.10.0.4 Item: Title: 5 Strategy of the proof of Theorem A Destination: section.11.0.5 Item: Title: 6 Structure of zero entropy patterns Destination: section.13.0.6 Item: Title: 7 Branching sequences Destination: section.14.0.7 Item: Title: 8 Proof of Theorem D Destination: section.21.0.8 Item: Title: 9 k-flowers Destination: section.24.0.9 Item: Title: 10 Triple chains Destination: section.25.0.10 Item: Title: 11 Proof of Theorem A Destination: section.26.0.11 Item: Title: 12 Proof of Corollary B and Theorem C Destination: section.27.0.12 Item: Title: Acknowledgements Destination: section*.22 Item: Title: References Destination: 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