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Non Sequential Recursive Pair Substitution: Some Rigorous Results

Dario Benedetto·Emanuele Caglioti·Davide Gabrielli
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Abstract

We present rigorous results on some open questions on NSRPS, non sequential recursive pairs substitution method (see Grassberger in \cite{G}). In particular, starting from the action of NSRPS on finite strings we define a corresponding natural action on measures and we prove that the iterated measure becomes asymptotically Markov. This certify the effectiveness of NSRPS as a tool for data compression and entropy estimation.

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Dario Benedetto, Emanuele Caglioti, Davide Gabrielli. 2006-07-28. Non Sequential Recursive Pair Substitution: Some Rigorous Results. https://doi.org/10.1088/1742-5468%2F2006%2F09%2Fp09011

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