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Ledrappier-Young entropy formula for $C^1$ diffeomorphisms with dominated splitting Part 3: full formula with arbitrary multiplicities

Tong, Yao
arXiv (All) · Papers
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dynamical-systems
We establish the full Ledrappier-Young entropy formula for ergodic invariant measures of $C^1$ diffeomorphisms when the positive Oseledets bundles and their nonpositive complement form a dominated splitting. We prove transverse formulas under three-block domination and equality of metric and unstabl
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