Dimensionality and randomness

May 11, 2024 · The Ethereal · 🏛 arXiv.org

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Authors George Barmpalias, Xiaoyan Zhang arXiv ID 2405.06961 Category math.LO: Logic Cross-listed cs.DM, cs.IT Citations 0 Venue arXiv.org Last Checked 1 month ago
Abstract
Arranging the bits of a random string or real into k columns of a two-dimensional array or higher dimensional structure is typically accompanied with loss in the Kolmogorov complexity of the columns, which depends on k. We quantify and characterize this phenomenon for arrays and trees and its relationship to negligible classes.
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