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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > EFFECTIVE FRACTAL DIMENSION:
Reports tagged with effective fractal dimension:
TR06-038 | 10th February 2006
David Doty, Jack H. Lutz, Satyadev Nandakumar

Finite-State Dimension and Real Arithmetic

We use entropy rates and Schur concavity to prove that, for every integer k >= 2, every nonzero rational number q, and every real number alpha, the base-k expansions of alpha, q+alpha, and q*alpha all have the same finite-state dimension and the same finite-state strong dimension. This extends, and gives ... more >>>




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