Dimensionality and randomness

George Barmpalias; Xiaoyan Zhang

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arXiv · 2405.06961

Dimensionality and randomness

George Barmpalias·Xiaoyan Zhang

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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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BibTeX RIS

George Barmpalias, Xiaoyan Zhang. 2024-05-11. Dimensionality and randomness. https://arxiv.org/abs/2405.06961

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