Entropy rates and finite-state dimension
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Publication:817815
DOI10.1016/j.tcs.2005.09.040zbMath1085.37017OpenAlexW2043927415WikidataQ56158170 ScholiaQ56158170MaRDI QIDQ817815
N. V. Vinodchandran, John M. Hitchcock, Chris Bourke
Publication date: 20 March 2006
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tcs.2005.09.040
Formal languages and automata (68Q45) Fractals (28A80) Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15) Dimension theory of smooth dynamical systems (37C45)
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Cites Work
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- Correspondence principles for effective dimensions
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- Subword complexities of various classes of deterministic developmental languages without interactions
- A tight upper bound on Kolmogorov complexity and uniformly optimal prediction
- Fractal dimension and logarithmic loss unpredictability.
- Generalization of automatic sequences for numeration systems on a regular language
- Finite-state dimension
- The dimensions of individual strings and sequences
- Kolmogorov complexity and Hausdorff dimension
- Endliche Automaten und Zufallsfolgen
- Finite state languages
- Two definitions of fractional dimension
- Compression of individual sequences via variable-rate coding
- Dimension in Complexity Classes
- STACS 2004
- On the entropy of context-free languages
- Uniform tag sequences