Non-sequential recursive pair substitution: some rigorous results
Dario Benedetto, Emanuele Caglioti, Davide Gabrielli · Journal of Statistical Mechanics Theory and Experiment · 2006
We present rigorous results on some open questions on NSRPS, the non-sequential recursive pairs substitution method. 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 certifies the effectiveness of NSRPS as a tool for data compression and entropy estimation.