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- W2334629364 abstract "In this note, we investigate the regularity of Cantor’s one-to-one mapping between the irrational numbers of the unit interval and the irrational numbers of the unit square. In particular, we explore the fractal nature of this map by showing that its Hölder regularity lies between 0.35 and 0.72 almost everywhere (with respect to the Lebesgue measure)." @default.
- W2334629364 created "2016-06-24" @default.
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- W2334629364 date "2016-06-01" @default.
- W2334629364 modified "2023-09-27" @default.
- W2334629364 title "ABOUT THE MULTIFRACTAL NATURE OF CANTOR’S BIJECTION: BOUNDS FOR THE HÖLDER EXPONENT AT ALMOST EVERY IRRATIONAL POINT" @default.
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- W2334629364 doi "https://doi.org/10.1142/s0218348x16500146" @default.
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