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Creators/Authors contains: "Lutz, Neil"

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  1. ; (, ACM Transactions on Computation Theory)
    We investigate the relationship between algorithmic fractal dimensions and the classical local fractal dimensions of outer measures in Euclidean spaces. We introduce global and local optimality conditions for lower semicomputable outer measures. We prove that globally optimal outer measures exist. Our main theorem states that the classical local fractal dimensions of any locally optimal outer measure coincide exactly with the algorithmic fractal dimensions. Our proof uses an especially convenient locally optimal outer measureκdefined in terms of Kolmogorov complexity. We discuss implications for point-to-set principles. 
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    Free, publicly-accessible full text available May 7, 2026
  2. ; ; (, Information and Computation)
    Full Text Available 
  3. ; ; (, Theory of Computing Systems)
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  4. ; ; (, 39th International Symposium on Theoretical Aspects of Computer Science)
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  5. ; ; (, Symposium on Discrete Algorithms (SODA))
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