Non Sequential Recursive Pair Substitution: Some Rigorous Results

Details Non Sequential Recursive Pair Substitution: Some Rigorous Results Non Sequential Recursive Pair Substitution: Some Rigorous Results

2006-07-28

arxiv.org/abs/cond-mat/0607749v1

Physics

Condensed Matter

Statistical Mechanics

20 pages

Scientific paper

10.1088/1742-5468/2006/09/P09011

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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