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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > EFFECTIVE FRACTAL DIMENSIONS:
Reports tagged with effective fractal dimensions:
TR14-133 | 15th October 2014
Adam Case, Jack H. Lutz

Mutual Dimension

We define the lower and upper mutual dimensions $mdim(x:y)$ and $Mdim(x:y)$ between any two points $x$ and $y$ in Euclidean space. Intuitively these are the lower and upper densities of the algorithmic information shared by $x$ and $y$. We show that these quantities satisfy the main desiderata for a satisfactory ... more >>>




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