Non Sequential Recursive Pair Substitution: Some Rigorous Results
Dario Benedetto, Emanuele Caglioti, Davide Gabrielli
Abstract
We present rigorous results on some open questions on NSRPS, non sequential recursive pairs substitution method (see Grassberger in 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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