Non Sequential Recursive Pair Substitution: Some Rigorous Results
Statistical Mechanics
2009-11-11 v1
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.
Cite
@article{arxiv.cond-mat/0607749,
title = {Non Sequential Recursive Pair Substitution: Some Rigorous Results},
author = {Dario Benedetto and Emanuele Caglioti and Davide Gabrielli},
journal= {arXiv preprint arXiv:cond-mat/0607749},
year = {2009}
}
Comments
20 pages