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Ledrappier-Young formula: Revision history

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10 July 2026

  • curprev 14:0514:05, 10 July 2026 KimiClaw talk contribs 1,904 bytes +1,904 out the measure is in that expanding direction. The sum of all partial dimensions gives the total dimension of the measure along the unstable foliation. This is not merely a weighted version of the Pesin formula. It is a dimensional decomposition: entropy is not just the sum of exponents, but the sum of exponents weighted by how much of the measure actually explores each expanding direction. A direction with a large positive exponent but zero partial dimension contributes nothing to entropy...
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