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A Simpler Proof of Kakutani's Conjecture on Random Subdivision and Its Generalizations

Liu, Changqing
arXiv (All) · Papers
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probability
Shifting the perspective from division points to division spacings leads not only to a substantially simpler proof of the conjecture but also to stronger results: limiting distributions are obtained for both partition points and spacings, with large-deviation error bounds. Maillard and Paquette's (2
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