FRACTAL DIMENSION, PROBABILITY AND ENTROPY IN MATRIX AND SUMMATION SUBSTITUTION SYSTEMS

DOI10.1142/S0218348X99000293zbMath1025.28003OpenAlexW2093823009MaRDI QIDQ4483532

Burton H. Voorhees

Publication date: 14 October 2003

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x99000293

zbMATH Keywords

Markov processsymbolsfractal dimensionslimiting probabilitiesrelative entropiesdiscrete recursive dynamical systemfractal and fractal-like objectstransition matrix formalism

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Fractals (28A80) Symbolic dynamics (37B10) Ergodic theory (37A99) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• Recurrent sets
• Cellular automata, matrix substitutions and fractals
• ON A CLASS OF FRACTAL MATRICES (I) EXCESS-MATRICES AND THEIR SELF-SIMILAR PROPERTIES
• ON A CLASS OF FRACTAL MATRICES II: DISTRIBUTION AND SCALE-DEPENDENT FRACTAL DIMENSIONS OF THE INTEGER SETS IN EXCESS-MATRICES AND THEIR DISGUISES

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