Non-sequential recursive pair substitution: some rigorous results

被引：5
|
作者：
Benedetto, Dario
Caglioti, Emanuele
Gabrielli, Davide
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
[2] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2006年
关键词：
source and channel coding;
D O I：
10.1088/1742-5468/2006/09/P09011
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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 de. ne 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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收藏
页数：21
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