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.

Non-sequential recursive pair substitution: some rigorous results

GABRIELLI, DAVIDE
2006-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/18992
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